So I've been having this problem for a while now where my domelight dims when the car is off. Now, the car will not start at all, so I used my jumpstart to get it going. It runs for a while and when I turn the car off and try to start it again it tries to kick over but does not. The chime sounds like it's on its last life and I am baffled as to what it could be. I just replaced the battery 3 months ago, so I was thinking maybe it's the alternator? Also, when ol' blueberry was running, the clock would dim and reset to 1:00 when I'd open the door.

Any thoughts?