Looking at the weapon table given I must say things seem to have gone a bit peculiar. Here are some suggestions, starting with general logic and going into specific values.
a) Axes do more damage than swords. A sword is versatile and a good defensive weapon (try fencing with an axe or a mace). An axe is generally cheaper and needs a shield to go with it. If you fight with a two handed axe, make sure you are good at dodging or wear heavy armour for defence.
b) The difference between a bastard sword used with two hands, and a true 2-h sword (called greatsword here) is not all that big. Certainly the damage doesn't shoot from 1d8+1 to 2d8. A 2-h sword also doesn't do more damage than a 2-h axe.
c) The damages for spears and other stabbing weapons are a touch high if they will have a special "impale" capability that will make them more effective on a special hit.
d) A pick should impale, or at least have an armour piercing ability. Othervice what's the point with the weapon?
So let's take the basic warsword (broadsword) as the starting point.
Suggested/fixed damage values
Warsword d8
Battleaxe-1h d10
Battleaxe-2h d10+1
Bastardsword d8
Bastardsw-2h d8+1
Greatsword 2d6
Great axe 2d8 (same for halberd)
a) Axes do more damage than swords. A sword is versatile and a good defensive weapon (try fencing with an axe or a mace). An axe is generally cheaper and needs a shield to go with it. If you fight with a two handed axe, make sure you are good at dodging or wear heavy armour for defence.
b) The difference between a bastard sword used with two hands, and a true 2-h sword (called greatsword here) is not all that big. Certainly the damage doesn't shoot from 1d8+1 to 2d8. A 2-h sword also doesn't do more damage than a 2-h axe.
c) The damages for spears and other stabbing weapons are a touch high if they will have a special "impale" capability that will make them more effective on a special hit.
d) A pick should impale, or at least have an armour piercing ability. Othervice what's the point with the weapon?
So let's take the basic warsword (broadsword) as the starting point.
Suggested/fixed damage values
Warsword d8
Battleaxe-1h d10
Battleaxe-2h d10+1
Bastardsword d8
Bastardsw-2h d8+1
Greatsword 2d6
Great axe 2d8 (same for halberd)