These are great questions!
For weapons, I tried to keep it pretty simple and keep all of the numbers low. Weapons that hit harder than an unarmed strike give a bonus to Menace. Weapons that are easy to use give a bonus to Fight rolls, but weapons that are difficult to use or require specialized training don't. Holding a sword or any other weapon that gives some reach does make it easier to hold off an attacker and land blows, giving a bonus to the Fight roll. I can definitely play a little with which weapons fall into which category.
First Aid can be used to remove the conditions Injured and Slowed. I should probably put in some more explicit rules about that.
Panicking and scars are the most experimental part of the game and the part I'm most likely to change. It would be interesting to do a playtest running it that way and see how it plays. It could also make for a nice alternate rule to adjust depending on the type of horror game.
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Hmm gonna have to disagree about a handgun being easies to use than a sword in a fight. It's definitely much easier to threat, hold off and hurt someone with a pistol than with a sword, since you just have to move your finger and get a chance to severely injure or kill someone (I say that as someone who already fought in a sword fight. They are tough to even move!)
Otherwise, yeah. Thosr uses for First Aid make sense. It's just my CoC head thinking something else.