I've decided to add an extra weapon to each weapon group. I think they are fairly balanced, although if anyone can see any glaring issues, feedback is welcome.
WEAPON DAMAGE INJURY LOAD COMBAT PROFICIENCY NOTES
Sling 3 12 1 Brawling Ranged Weapon
Staff Sling 4 14 2 Brawling Ranged Weapon, 2 handed
Bill 5 14 3 Spear 2-handed
Throwing Knife 3 12 1 Swords Can be thrown
Falchion 3 18 2 Swords -
War Sword 6 18 4 Swords 2-handed
Light Throwing Axe 3 14 1 Axes Can be thrown
Throwing Axe 4 16 2 Axes Can be thrown
Short Bow 3 12 1 Bows Ranged Weapon, 2 handed
Composite Bow 4 14 3 Bows Ranged Weapon
Long Bow 3 16 3 Bows Ranged Weapon, 2 handed
Extra points:
Throwing Knives get the +1 Pierce from using a success dice (like all swords)
Slings are not a simple weapon to use but they fit best with the Brawling Proficiency, they make a good pick for a character who has a high hunting skill, but does not carry a ranged weapon (Had that before with a Beorning Character, we hand waved it as his hunting skills making use of snares and fishing at the time)
Its a little awkward to put the two throwing weapons in their respective Combat Proficiencies but throwing a spear is very different to wielding it in combat and they get away with it.
The Long Bow is an intermediate weapon between the two other bows, you could argue that a great bow is a longbow but I think there is a place for a bow between the two that is Load 3.