One thing I noticed though is that Halberd units seem a bit weak. They are devastated by cavalry charges, just like swordmen, and do poorly vs. infantry. I figure I will use them behind my main line and bring them in once the fight is started, but they still seem pretty poor. Will test more.
Halberd are effective against cav if stationary and in the shield all formation. They do better against cav than normal spears and can do better against infantry.

I think, a higher tier, elite unit like dis. chivalric knights shouldn't lose to armoured swordsmen and dis. feudal knights.
I'll have a look into this.