I'm a fan of unique movement mechanics so it's nice to see you try something different!
But they come with great difficulty, you need to consider how they change established things that you don't normally need to think about.
Here you first move up and right even if you want to go left. This means "moving left" is the most difficult basic thing to do.
Level 2 already requires going left. I think it would be good to first teach the player to go right and up in a few scenarios before introducing left.
Again this wouldn't need to be the case in a normal control scheme but you need to teach each part of the game really well since it's not an established thing people know.
I don't like the time limit (even if it fits the theme and makes sense that way)
Because again the control scheme is unique and needs special attention. Time could be a reward for like 3 stars. Then it's an optional challenge and people who want to engage with it will have even more fun since they decided to do so themselves.
The scratching feels more like clicking since the direction of the scratch doesn't matter and you can't hold mouse to do multiple scratches. (That way you could have more control by counting the number of scratches and only moving when the player releases the mouse button) This wouldn't inherently be "better" but it would be easier to control.
Really "better" depends on what you're after. I think an unique control scheme needs some reason to exist. Like challenges or levels that are fun and different because the movement mechanic works the way it does.
Of course you did this somewhat but it needs a lot of extra consideration when you're coming up with something new like this!
Oh and the music cutting out was a little offputting even if it makes sense on the record.
Sry for the long game design ramblings, Great job on your first jam!