I understand <1/3 of what you said. What is baseband?
Version 4.0.1 (8A306),
Carrier 7.0,
Model MC640LL,
IMEI 01 226600 536803 3,
Modem firmware 05.13.04
Besides the standard apple icons, it has Cydia and it says SHSH: iOS 4.0.1, ....,5.0.1, 5.1.1