1. There is no "Auto Lock" capability on the F10. (I'm not talking about speed activated locking while driving).
2. No, the car cannot manually be locked with the key fob inside.
Bimmerfest Supporting Member
2011 535i AT | Black Sapphire/Cinnamon | Premium | Heated Sts | Nav | Sirius | Anthracite Hdr & Trim
Prior: 2008 335i 6MT Sedan | Black Sapphire/Terra Leather | Premium | Cold | CA | OEM Alarm
Prior: 2005 330i 6MT | Black Sapphire/Sand Leather | Premium | Cold | UGO | OEM Alarm