wont start when cold

What is your question?

I have a Chrysler 300M and I have a problem when it gets cold out it wont start. When its warm it starts fine. I know I am having a battery drain brand new battery brand w alternator. When I jump start my car it does not hesitate and starts right up. So Iwas told to start with the fuses and see if a fuse is creating the problem. Here is the thing I was talking with my neighbor and he asked me if there was anything on my dash that was not working and my in dash analog clock stopped working? Yes my analog in dash clock stopped working So I guess my question is if the fuse is the problem rather than replace it and run into this problem again can I just leave the fuse ou? I dont know how something not working can cause a drain but everything is working from my sunroof,stero, etc..I have to try and figure this out cause my auto mechanic charges 118 per hour and he said it takes about 4 hours with no promise they will find the problem within that 4 hours

What makes this problem better or worse?

has no trouble starting when the weather is warm

How long has your 2012 Chrysler 300 had this problem?

More than a year