I wouldn't worry too much about profesional evaulation of your mental state cause those people know how to help-or they want to make you stay miserable and on pills so they get payed more :/ ummmm so trying more then one psychologist might help you find the one you like the best ^^
About friendships:
well I leanred some things on the way, that they also think about you and wonder if you like their company or if they should contact you-so, same things you wonder about too X) it seems to be normal and okay. I sometimes wonder if my friends are acting they like me and gossip about me behind my back cause hmmm yeah, that is okay thing to ponder about and not impossible BUT I realized I shouldn't judge people like that, based on what they never said or showed. That I would be hurt if someone let me know they think of me like that, as an actor that spreads rumours about them and laughs at their expense-cause I don't do that and people in general feel bad if faced with false accusations. So, don0t do to others what you don't want others to do to you I think ^^"""
---------------
Here, some elaboration:
Case 1:
You have a Friend. You think they secretly hate you. You never tell them that of course, but you are always wary and never learn to trust them and thus never make worthwhile conection, so sooned or later one or both of you conclude that things are not working out and feel no trust or warmth between and so it fades. You now no longer have that Friend.
Case 2: You have a Friend. You think they secretly hate you and thus you don't trust them or feel good around them. Friend somehow finds out you think negatively of them, thinking they hate you when they never showed or said something like that. Friend always thought well of you, they didn't hate you. Friend is now hurt and cuts you off.
Case 3: You have a Friend. You think they secretly hate you and thus don't trust them. You are right, that Friend hates you. You find out and cut off that "Friend"-you avoided big problem :3 people like that ain't good so not being with those is plus.
---
In all 3 cases above you lost a friend. In 1 case it was Friend's fault, in 2 cases it was your mistake for seeing something they were not and not giving them a chance. Relations with humans are risky ;-; no doubt, that's why true ones are so precious, they are not easy to make, both sides keep risking parts of themselves, their feelings and memories-my advice would be take a risk, calculated one, and fly high, if they strike you down they strike you down, but you flew; and if you stay low you'll never fly.
-------------------
I am also not one to approach others-I'll work on that :3 cause I want, it's not something everyone needs to know how to do nor want. All my friends approached me, so next time someone approaches you can try to have a converstion, you can even start by "I'm nervous" "Sorry if I am awkard" "I don't really know how to do friendships cause of this or that" - explain your situation. I know that makes you vunerable ;-; and I honestly never started like that, but to me first 3 times I meet someone one on one or in group and we are friends I am nervous and awkard thou I know I have no reason to be cause previous times with that exact person went well, but I am nervous anyway X) heheheh
And so to some people that were with me in that situations I later when we were wrapping up our time together (for example we went for a walk of 2 hours and now an hour and 50 min passed) so there is like 10 more minutes left, I apologized for my awkardness and explained I was nervous although I know I had no reason to be and that I had great time and really appreciate they suffered through with me-I really told them that (thou note that was not 1st time meeting them, I don't trust easily right away, but I make calculated risks sometimes ^^""""""""""""""")-and in both cases ( 2 different people that don't even know each other, I know both, each of them knows me and they don't know each other-so chances of them planning it is near zero) they told me they enjoyed it too(and that term suffer through is wrong to describe our time together) and that they are okay with my higher pitch(cause I were nervous) or some awkard moments and that it didn't bother them, they hoped I will feel more relaxed next time, but were okay with this too. Those people told me sometimes they are worried too and thus I found out I unknownilgy hurt them....I am bit of an intorvert and they are both extroverts so to me not texting every day or once a week is enough social contact, for them it is not and I didn't know that. One told me they concluded on their own that I only seek minimum or that I am happy with little, although they worried I didn't like them SO I made some new decisions like making sure I pay enough attention to my extrovert friends (it is not problem for me since they don't tend to drain me, I feel good in their company) and I text them and offer to talk and similar AND I figured that returning gestures is important-so sometimes they offer to go to movies and next time I offer (we don't have any kind of deal on that, it just happens to switch from time to time) and it's okay if one of us can't hang out that 1 time, saying no is okay, saying "I am feeling down" or "I want to be alone for a while" is okay too, offer stands, no pressure about it. Little advice here is-if you refuse offer once it would be nice to say " I am busy tomorrow, but I am free on weeked so we can hang out then" give alternative time/date so they know you want to hang out, but really can't make it that time.
And this is advice from my friend when I asked them how they manage to make many friends (they have many friends if you ask me) and they said spedning time together is important and that taking an invitation even if you don't like where you are going or doing is recommended if friendship is fresh/just starting-of course don't say yes if they want to do something really really dangrous like drugs or breaking the law, but I got this advice cause, for example, I don't like to go out in side road caffee bar and drink coffee from smallish cup while chatting about latest popular news (some singer or something)-I prefer some comfier spaces like those with sofas and cakes, not just drinks besides road ;-; but it would be good not to always think "I don't like it there" "They are new and I am awkard" but like go for it-it can end bad, but it can end good too :D And I realized that those people don't necesserally like caffee bars either, but that is just most common way of cheaply hanging out with whoever, it is not too formal, it carters to needs of most when it comes to drinks, no one can really flaunt since drink prices aren't much in these places, it is unlikely it would be too expensive for anyone, and you can talk cause some people are more and other are less atlethic so walks are not always a safe bet in my country. And I am not up to date with our singers or who is dating who from celebrities, not really my thing ^^""""" but it is safe bet and conversation starter-so we can start talking about this singer and then somebody takes conversation in another, more pleasing, direction about what clothing they like and why, then favourite color, theory of colors, or how their ideal house would look like-what I just mentioned might not be what you like X) but okay, it is just an example and I like talking about design, but "I like purple" is not the best way to start conversation I think XD but you can try, there are many different people, so keep trying, you will find your type of people sooner or later ^^ even evildoers have friends ^^""""" which is not good, but yeah, there is a match for everyone and it might not be always easy, but it is never futile to search for those people like you. You can raise you chances of meeting similar mind to your own by trying to make friends on places you like-if you like art you can try art class or group in your town-you can still meet an as*hole of a person, but finding too many in one place is unlikely ^^ .
Fall Month: 1 
Night Weather: 
Hurricane Moon: 
