For the last few weeks when I removed the key from the ignition and opened the door, the beeping to remove the key would ring forever. So the theft deterrent system would not turn on when i locked the doors. It has stopped beeping these last few days but after i turn on the anti-theft and close the doors I would get a beep as soon as I opened the door, as if it were turning on again. And sometimes the passenger door wouldn't unlock.

The front left turn signal bulb isn't on but still blinks for turn signals. Should I replace the bulb or is it electrical?

And lastly the Brake warning light is always on now, whether or not the e-brake is up or down. I searched for a solution but don't know exactly what i should do. I did replace rotors about 6 months ago and never had this happened.

This has all happened recently. I had to jump start the car. I tried to immediately start the car without giving it time to charge, could that have dome something? And the weather here is pretty cold, 50 highs - 20-30 lows. But this is the cars second winter here and these are the first problems I've had after a year and a half with it.