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I like your character design, simple yet original. I also like the perspective that the scenario has. You should explore that somehow (old beat 'em ups may give you some insight, in case you need it).
The option of having a ranged attack with controllable distance is not common, extra points for that.
I've tried the demo multiple times, but I kept dying when SPOILER ALERT ----- the giant farmers show up. You probably want to, eventually, give the player more health.

(+1)

What do you mean by "perspective that the scenario has"? Anyway, I'd be interested in playing some old beat 'em ups if you think they are relevant to my game; which would you recommend? As for the giant farmers, I'm not sure I'm going to keep that fight, but if I do it needs work

By perspective I mean the way you made the background. If you look at a sidescroller like, let's say, the first Mario Bros. In that game background is flat, it has no depth. Your game has depth, like in Captain Commando, for example. It has a vanishing point.
You don't have to play them, just take a quick look at videos in case you need inspiration for visuals/interactions with the background. 
Also check how the characters move. No need to add that type of movement to your game, I just wanted to offer you some insight regarding what has been done.