Thanks for the feedback!
Yes I've added extra points for moving (especially vertically) to encourage the player to move more, and I've added satellites, which should not be destroyed (if you do, it will count as if an asteroid has passed). I'll push the changes after the jam ends.
You're right, I had thought about showing the score, but I'll have to think about where to put it because I don't want it to block parts of the screen or something, but at the same time I don't want to just print a number there, it would look terrible, haha
Good idea about the extra shake, I'll try to play with the numbers and see if I can improve it, thank you very much! :D