my suggestion is to zip off a set of injectors for cleaning at FIE a recognized vendor. Great service and he turns them around quick. Ensure those screens aren't clogged from debris. However with the fuel pressure you are posting, I'm not surprised your car is dying. You need to replace the fuel pump and strainer sock (along with adding a fuel filter.
92 tanks are known for internal issues, and you may want to consider a tank while you are at it. Last time I priced a tank it was around $70 (matter of fact..I'm gonna order one today..mines rusty and getting a new pump).
Once you get a fresh pump, good fuel filter and clean injectors I'd think you will be all set.
I have seen pressures that low before.. car would surge, buck and overall not want to stay running on corners and hills.
00 Regal GS: All kinds of cool stuff.