(updated concerning my suddenly high level O.o)
edit: added two more

8) From what I've read, your assumption is correct - its based on the highest pet you've levelled.

9) Not at this stage.

10) Once you get to Ethernia in Astryl's Vale you'll be able to accept tasks, each of which can be done each hour. The task log is where they're "stored" and where you go finalise the tasks once complete. The tasks are things like; defeating a certain number of enemies; collecting / clearing a certain number of items; finding a lost puffadore; etc.

Ah; okay; and coolio. ^_^ Thanks again! :)

(updated again with a few questions XD)

11. Themed pets are special pets that only available during festivals.
You're probably thinking, "how to differentiate normal pets and themed pets then?"
Well, all themed pets have a tag on their profile page like this pet (keep scrolling down and you'll see the Blooming Iris Nephini tag). In the festival zone, themed pets will have their tag showing instead of Wild XXX (change XXX with the species of the sylesti)

12. Wheel pets are special pets that can only be obtained from wheel (and eggling auction) during festivals. Note that the wheel has been removed since some months ago so you can't get anymore wheel pets unless Krin and Fai bring the wheel back again.

13. Purebred pet is a pet that bred from parents of the same themed.

14. To my knowledge, no.

15. As far as I know, no.

16. They are only available at certain time during festivals. Krin will ping us one or two day before he makes it available so you don't need to worry you'll miss them.

Okay, thank you! :)

So a themed pet and a tagged pet are the same thing?

You're welcome! :)

Yup. :)