Cool game! It's got nice vibes with great art; good job!
I have only 2 real issues:
1. The jumps feels too floaty; maybe consider making the gravity when you fall greater than when you jump? (It's a common trick in platformers; you can check out this video talking about it here)
2. The running attacks look weird, mainly because the legs don't move even though the character is still moving. The solution to this is to separate the player sprite into 2 parts; the body and the legs. (Again, you can check out this video talking about it here)
Good luck with continued development! :D