Imus Selby

Since purchase 11 months ago, has had several electric problems. Worst and most frequent problem is car won't start, even with new "bigger" battery installed by deakership months ago. Has been jumped 3 times this week. Dealer does not know why. Other problems- several ocurrences of safety collision alarm going off when no object in path. If I do not stop car steering wheel locks. Several times hatch door ooens when not released. And one time when exiting car, horn went off, do not know why and I could not turn it off. Turned off itself after a long few minutes. Next door car, 500 ford security alarm triggered my car's alarm to go off at 3am. It stopped when the Ford's owner clicked his alarm off with HIS ford key fob. Any suggestions?