1980 450SL Fuel pump???

towards the end of a 45 min trip the car started sputtering and just in time to pull over to the side it completely shut off. Thinking the gas guage was wrong (reading about 1/4 tank left) I walked to a gas station
and refilled with a gallon. The car fired back up but within a minute sputtered again to a stop. It will now restart if I leave it sitting for a while, but will only run for a couple of seconds until it cuts off again. Sometimes it won't even start up at all just turn over. I bought it about a year ago and have within the last 4 months replaced the air filter, fuel filter and distributer.
Any ideas what this might be? Just trying to get an estimate before I take it in to a shop.
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Dirty fuel filter, worn out fuel pump relay, worn out fuel pump.
Fuel pressure and volume can be tested so suggest that before buying a new fuel pump.
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