My 2 cents.

1. All 2 handers should be AP (I think they are)

2. VS Hevay Infantry. From what i read on military history 2- handed fighting is a representative of individualistic warior cultures (e.g. Gaul in Cesars time). 2 - handers were usually the elite, fierce, brave and individualistic warriors. Thay won most of their fights against other infantrybecause their enemy would simply run away rather than face elite of the enemy forces. Unless they were highly disciplined (e.g. Cesars legions in Gaul) and would be ready to slug it out with stroung and terrefying but undisciplined and individualistic enemy. So my proposal is to raise 2H charge value to somethink like 5 or 6 (cavalry charge is much stronger because of the weight of the horse) and give them a morale penalty to nearby enemies, but slower and smaller attack values than heavy infantry and much smaller defence values. The outcome of 2H Vs HI engagement should depend on morale more than anythink else. If heavy infantry can stand the poverfull charge and morale penalty it should then slowly but without much further loss cut down the 2Hs. If HI has low morale it should rout right after the 2H charge, if there is no proper charge or 2H are charged themselves they are quickly cut down. Not all 2H should have high morale themselvs, so if bill milita performs a charge but is not able to break the enemy it should rout almost imediatly.

3. VS Horses. Cavalry charge is much stronger than 2H charge due to the weight of their horse (+ horse armour) so a cav charge should inflict heavy loss on any 2H although smaller loss than shild and sword unit would sustain. After the charge is over or if their was no charge all benefits should be on the side of 2H as they have higher reach, AP, better balance and leverage than a horsman with a sword and shield. Plus a knight on his horse presents a bigger target. So in case of 2H Vs Cavalry the situation is reverced, if 2H can survive a charge it should overcome cavalry with no big problem but the cances of surviving a charge should be low.

4. So this would be my example of Dismonted feodal knight and a comparable 2H unit.
DFK 2H
Attack 13 8
Charge 3 6
Defence A/D/S 7/8/6 6/6/0
Morale: 9 6
Tranining: trained trained
Discipline: disciplined undisciplined
Bonuses: - AP, Bonus VS Cav +8, weak vs Arrows, Cause fear morale -2
Cost/Upkeep 570/225 480/150

Well this is my 2 cents.