If the plastic thingie in the fuel line is before the pump, it isn't a regulator. Probably a filter.
The spindles are the short axles that the front wheels mount on. No reason to replace them if they aren't damaged.
You say the engine turns easy, and it was full of antifreeze. If the oil looks okay, no water (or antifreeze) in it, I'd say she should be safe to fire up. May be one or more stuck valves, but that's no big thing to fix.