Hi Tinkerman,
Don has given you lots of good guidance! I can only add a little.
Yes, the original oil pumps were quite well made, simple in design, pretty easily servicable and seldom give any trouble. In fact, some turn out too high pressure, so there is a relief valve on the filter head of most 4-cyl. TRs that can be used to reduce it to a level that won't blow out seals. This adjustment can also be used to increase pressure, if an older pump is not producing quite as much pressure as it did new. Check the manual for specs and procedures.
And, as Don mentions, if you end up installing any new parts there are a few things to watch out for:
The drive shaft for the oil pump (and distributor) is another possible area of concern. If fitting a new one, a hardened type is more difficult to find but recommended if at all possible. Also look closely at the end where the shaft fits into the oil pump. If the tang on it's end is very sharply machined, or if it has any sharp burrs along the edge these can cause rapid wear, binding or even breakage if too tight a fit into the slot on the oil pump. The slot on a new oil pump might also be too sharply machined or have burrs. These are possibilities with new parts, but unlikely on used ones that have years of service and "worn in" together. If using new parts, in some cases it's a good idea to round the edges just slightly, first with a file then with some fine wet/dry sandpaper or a stone. Clean it all very well after this sort of work, so that no grit ever gets into the engine.
There is also a process for setting the end play of the pump/dizzy drive shaft, by shimming the dizzy pedestal. The seals that go under that pedestal are not just seals, they are also shims. That's in the manual, too. Check it out. Usually new parts are a good fit, but too tight or too loose can cause problems, so it's just good practice to check.
I also agree with Don about pinning the lobed part to the shaft, if that's not already done. That has been a problem with some of the replacement pumps in recent years. Also, even if there is a pin in it, take a close look at it. Some aren't very tight and can be pushed out quite easily (i.e., the original pins took significant force to push out). If it's loose fitting, a fix I've seen discussed - but not had to do personally - is to remove the loose fitting pin, tap some threads in the hole and then install a socket-headed set screw with some Locktite, to keep everything secure.
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