Why wont my car start

I have a 1992 Accord that wont start sometimes. It seems to occur after filling my tank or when the car is warm and i shut it off, then right after shutting it off i try to start it and it wont start. The car is good shape, and has a remote car starter does that have anyting to with it. Has anyone else had a problem like this. A garage told me that there was nothing to do about it but the problem seem to be getting worse it occurs more and more frequently now. Any help would be great.