Going off memory here so bare with me.
Start by checking the fuel pump fuse in the fuse panel in the car. Is it O.K.?
When the pump was cavitating it may have popped the fuse.
You have a fuel pump test lead wire on your Buick, you can supply power to this wire and the fuel pump will run if it is not bad. This wire is located behind the A.C. compressor next to the valve cover right above the header. Next to it will be the Tachometer test lead. I cant remember what color the terminal ends are on these two test leads but the fuel pump test lead should be a Tan wire with a white tracer. (Sometimes people plug these two leads together accidentally and their tachometers go bonkers). By supplying 12 volts to this lead the pump should run, if it don’t I think the pump is bad.
If it does then continue on.
Next check fuel pump relay wires. The fuel pump relay is the middle relay on the passenger side fender. One of the wires connected to this relay is a dark green wire with a white tracer, located in pin A1 of the fuel pump relay wire harness socket assembly. When you turn the key to the run position the ECM triggers 12 volts for two seconds to the Dark green wire with a white tracer. In order to check this wire for power you will need some help. Get your test light on this lead and have your assistant to the key to the run position, it should turn on the test light for two seconds, does it?
A tan wire with a white tracer is the power wire going directly to the fuel pump do you have power at this location? Remember unless you get the car running your only going to have power for two seconds after the key is turned to the run position.
The oil pressure switch can cause the fuel pump not to run, so after checking this stuff and you don’t determine your problem I’ll try to help you some more, if you post your findings.