EDIT: I type slow. >.> Didn't see Space Coyote's post before mine. Sorry for the redundancy, but I'll leave my longass post here just in case you need it~
1) Whenever you choose a target for your wolf to attack in explore, it might say that your wolf feels independent. This means that they are essentially ignoring your command to attack that target and are acting on their own. Sometimes they might hit the enemy that you wanted them to hit anyways, sometimes they might not. If your select your target option is set to 'any,' then the 'your wolf feels independent' message will go away and your wolves will just attack random targets. ^^
2) Yes, they do. Just a simple (c) Wolfplaygame.com somewhere on the image or in your bio should do.
3) Could you be a bit more specific on this one? When exactly are they disappearing? Is it after you do something specific?
4) No, your account is just one pack of wolves. However, you are allowed to have a max of three separate basic accounts at one time. Though keep in mind that these accounts must be played completely separately and you can't transfer anything between them. So technically you can have multiple packs, just on different accounts.
5) A bit confused on this one.. if you're talking about adding more den spaces, then no, there is not away to add more spaces for your wolves without spending apples. Let me know if you mean something else by this.
6) There's a limit to the moves learned concerning battle experience, but for the number of BE itself, there's no limit. The final battle move learned is Death Grip (learnt at 925 BE) but the amount of BE your wolf can have number-wise is limitless.
7) The Full Moon Celebration lasts from the 5th to the 10th of every month.
8) Nope, only food and relics can be stolen.
9) The Trading Post is the closest thing to a wolf database, there you can search for all sorts of wolves with any sort of criteria, whether they're for sale or not.
Hope this helps, if you need something clarified just let me know. ^^