The battery fully charges, then stops when full and bleeds a little. When it drops a little more the charger will kick back in. This is normal.
You can reset the fans if you are concered with a SMC reset: http://support.apple.com/kb/HT3964
But you have Applecare (wise choice) and if you feel uncomfortable, definatley bring it in, get your moneys worth.
Make an appointment first, as they are usually busy, and you don't want to hang around for who knows how long.
Some reading on battery conditioning. http://www.apple.com/batteries/notebooks.html
All the best