The condition of the cat may need an exhaust gas check to determine.
O2 sensors aren't cheap, don't fail often, can be a real bear to remove, and they're not too hard to check with a volt meter on a working engine. You probably don't need one. Sounds like you got the big 2-manual factory manuals coming, and they help a lot with some of this stuff, too.
Once you get the air filter in, correct the fuel pump issue and let Joe poke around a bit, you can probably check most of the systems then, assuming it fires up...
There's still lots of vacuum hose and vacuum controllers to keep you awake at night, and they will need to get checked. You may need a secondary actuator (Mitsu's aptly named Depression Chamber) replaced if its membrane is broken. And it wouldn't hurt to check the distributors vac advance as well. Again, Joe's your man.

That rad I've got (I'm pretty sure I still do) came out of a freshly scrapped vehicle I came across in a wreckers yard, where it looked like they replaced the rad, then gave up on the engine and scrapped the truck. It looks new. I pulled it to add to my spare parts collection about 4 years back. It very definitely doesn't need rodding out.