The stator is pretty rusty but if the wire varnish isn't ruined, it will be OK. Measure resistance between the 3 wires - to each other and to ground. Between wires the resistance should be very close to equal, if any are reading low there is probably a short between windings from the insulation going bad. ANY measurable resistance to ground from any wire means the stator is bad.
Be careful with rust removal, chemicals might attack that varnish insulation. Sand off the rust on the inside diameter though to avoid rubbing on the rotor.
The field coil looks OK, these are hard to kill as the windings are protected better. Again. resistance between its wires should be normal and any resistance to ground is bad.
I don't have the expected coil resistance numbers here. Remember that most meters are not very accurate at low resistance, at least touch the probes together and subtract whatever that resistance reading is.