You said your car dies when it gets cold outside and that you had to jump it and replace the battery twice. Were those batteries tested and shown to actually be bad or were you just replacing parts? If your alternator isn't putting out the proper voltage then it can cause all kinds of problems, including idling problems.
I have bought refurbished alternators before that didn't work when I put them in. I would have the alternator and battery tested to make sure both are operating properly. It could also be that something is staying powered on and draining the battery. I know on mine I have to be careful. I can pull the key out of the ignition without having it in the off position. This leaves everything powered on if I don't watch it.
Hope this helps and that you find the problem soon.
I have bought refurbished alternators before that didn't work when I put them in. I would have the alternator and battery tested to make sure both are operating properly. It could also be that something is staying powered on and draining the battery. I know on mine I have to be careful. I can pull the key out of the ignition without having it in the off position. This leaves everything powered on if I don't watch it.
Hope this helps and that you find the problem soon.