Chances are you have some junk in the fuel tank that is plugging the "sock" that covers the end of the fuel pick-up to prevent chunks from getting into the fuel line. Pretty easy to check if you can use/drain the fuel from your tank and pop the sending unit out, then look at the end. New "socks" are available. Also take a peek in the tank for rust, etc., and address/replace as needed.
PS: IIRC, those original pumps ARE rebuildable.
I had the sending unit out a few months ago to check why my gas gauge wasnt working,,, the sock looked new
at the time i changed the locking and o rings
gas gauge works now
i have only had the car bout 6 months now
i drove it a lot in warmer dryer weather,,, now that its getting colder i only drive on dry,,, saltless road conditions,, i cant believe we had salted roads once already this year... inch and a half of snow and they salted (geeeesh) it was all melted by afternoon
anyhow,, ever since the car had sat for a week at times,, it became hard to start,,, the choke works fine and closes almost fully at start