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I dunno if this helps with diagnosing what's going on with the 'can't ground pound while USB gamepad is plugged in' issue, but it seems like the issue isn't merely that the input can't be pressed, but I suspect that it's because it is registering it as being held down constantly. Because with the gamepad plugged in, it skips the 'ground pound to start' screen and just launches you into the game.

She also runs straight to the left no matter what. Any idea what might be causing that?

Not for me. I can move in any direction and jump just fine, I just can't ground pound and it skips the start screen.