[randman1]

Issue 1) So the security light is on solid while running, off, locked and unlocked???

Issue 3 & 4) Could be the Idle Air Controler (IAC). Clean it as well as the throttle body. Remove the TB, remove the 3 sensors and clean the TB with STP throttle body and intake cleaner and a brush. Get all of the gunk out. This is inexpensive way to eliminate the IAC as the culprit and it's good maintanance too.

Issue 5) If it feels lumpy during braking only, it's probably warped rotor(s). If it is at any time then at could be a bad tire, rim or improperly balanced wheel.