I know nothing about AC, but I like the premise of this from what I've seen.
To be honest, that's what I love about AC. The free running, and building climbing are nice, but I don't like the combat. The story is what I'm in it for.
Anyway, Albino Dunmer, I'm gonna give you a list of what the general store has.
Spoiler Normal Weapons: Normal Sword, French Rapier, Light Cavalry Saber, Hanger Sword, French Cutlass, Officer's Sword, and Cuttoe Sword
Blunt Weapons: Gunstock War Club, Wooden War Club, and Stonehead Warclub
Small Weapons: Assassin Tomahawk, Stone Tomahawk, Iron Tomahawk, Stone Dagger, Iron Dagger, and Dirk
Heavy Weapons: Hessian Axe, Boarding Axe, and French Naval Axe
Firearms: Flintlock Pistol, Double-Barrel Pistol, Duckfoot Pistol (this thing is crazy looking), and Pitcairn-Putnam Pistols
Consumables: Rope Darts, Poison Darts, Smoke Bombs, and Trip Mines
Also, you do have a bow, but I'm not sure if it can be upgraded.
Edit: By the way, this is just one general store out in the Frontier. Other stores, perhaps in cities, may have more stuff.