3rd, trace the fuel lines from the engine back to the fuel tank to determine if there's a leak, kink, broken, cracked, &/or loose connection in the lines.  Any one those situations could cause a significant fuel delivery problem.  Check the connections at the top of the tank under the fuel fill boot.  The smell of gas is what bothers me the most here.  Be safe & make sure things don't catch fire &/or explode by working with a well ventilated work area.  Check for a fuel spill on the ground too.  That could lead you to the problem or 1 of a few.  Remember too, this car is 30 years old.

4th, from the way understand your situation is, the car stopped running at the accident?  How bad is the damage to the rear bumper?  Look underneath to see if the chassis is pushed in at the tank.  What I'm driving at here is did the car receive collision damage to the fuel system.  Was the collision hard enough make old parts/part break?

Tell me what you find & if you can, attach a photo of the collision damages here.  We'll take it from there.