Greg, I will try to take your questions one at a time here goes:
1)Regulator has 4 posts--lights + batt + field are on the bottom front and there is an unlabeled post on the back(under side)
On many 4 terminal VR's LOAD BAT and FLD are up top side by side while ARM is underneath (maybe unlabeled ?) or off in one corner all by itself.
They wire as follows: BAT on VR up to the Load (NOT battery/starter) side of ammeter, its always hot
FLD on VR to Generators FLD post
ARM on VR to Generators ARM post
LOAD/LIGHTS on VR feeds hot battery voltage to loads like lights and ignition typically via the IGN
or Light switches
2) The generator has A and F on it.
That's Armature and Field, wired per the above.
3) There is a hot wire coming from the dash
That may be the Load side of the ammeter, see 1, it wires to BAT on the VR
4) and a wire going to the F on the generator and a wire going to the A on the generator.
FLD on VR wires to gennys FLD post, ARM on VR wires to gennys ARM post
5) I need to know how to polarize the generator and regulator(if needed).
ONLY the Genny needs polarized, use a small jumper wire to momentarily flash jump from BAT on VR to ARM on VR
orrrrrrrrrrr jump from BAT on VR direct down to gennys ARM post and you should get a small spark
NOTE BOTH the genny and VR need good grounds to work !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
NOTE Polarize BEFORE starting lest you damage the VR !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
6) I then need to know how to wire the regulator to the generator.
See 1 above
7) If I connect a hot wire to the A on the generator, it will drive the generator(with the belt loosened) in the same direction as it turns when the tractor engine turns it when running.
IT SHOULD DO THAT That genny, a DC Motor, is basically the same as a DC generator. If its grounded and you apply hot voltage to the ARM post it should indeed spin if the brushes and armature and bearings are in decent shape
NOTE HOWEVER with the VR having hot voltage on its BAT (from ammeter) when the tractor isn't running the cutout relay (between BAT and ARM on VR) should be open so the genny does NOT spin. If that cutout relay was bad and permanent stuck closed THATS BAD
NOW for wiring and troubleshooting instead of guessing look at my Charging System Troubleshooting Procedure linked below aND post back any questions
John T
John Ts Charging Troubleshooting