No button.

I would like some details about what decides whether you fall when using kick or not. I've fallen at every rank so that isn't it.

I'd say nah with animals because this game is already a cluster with what it has.

Only two ideas for +weapons:

Beartraps, or something that can be placed and stays there.

Spear, or a throwable object that can be picked up after each use.

More gamemodes would be great.