I have tried every single 0-1 star weapon, and I am trying to decide what is the best weapon to choose. A major factor in getting a new weapon is knockback. Proto armor can't protect you from much, so knocking monsters back can really help. That is why Hatchets and Heavy Hatchets are quite good. I have made many new characters, and the first thing I think of buying is a Heavy Hatchet. Otherwise, I recommend the Bolted Blade, which is an upgraded proto sword. Surprisingly, the Proto Sword is actually pretty good. Most MMO's start you off with a weapon intolerably bad. The proto sword is not a horrible blade, and has average speed and damage. My recommendation for Swords are the Heavy Hatchet and Bolted Blade.
Now for guns. Guns are hard to use, thus the starter needs some skill to wield it effectively. The proto gun is absolutely horrible, and is sort of like your baby sister trying to hit you. That lame. I like the Zapper, and it is very cheap on the AH. (I Sold hundreds of them for 500 cr). Super stun guns are also good, because they can protect you by stunning the monsters. The only 0 star gun that I recommend is the punch gun. Even though the punch gun does extremely low damage and is very slow, you deal knockback, and the charge attack is Ok. (The gun is only 150 cr anyway!).
Bombs? Not only do you have to be extremely skilled in wielding them, the options are very limited. Therefore I do not recommend any 0-1 star bombs for starters. Still interested? Get the firecracker. That is the best 0-1 star bomb. Any suggestions?
Yeah, i have a very common suggestion : skip any 0-1* item and go directly to 2*, choosing something that will upgrade to 5*. 0 and 1* items are a waste of money (the only case it is not is if you want to play T1 Lockdown).
Really, i can't image why you went through the pain of testing every 0 and 1* weapon, instead of reading any beginner guide, which all state that you should ignore anything below 2*.