I made a quick 20s video and stuck it in Dropbox here:Thanks for the detailed report! I was able to debug 2-4 not really sure how to recreate the first glitch you're describing. I've tried it several different ways and the ship works just fine for me. If there's any other detail regarding this bug that you have I'd love to know since I can't seem to recreate this problem!
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Let me know if that works for you, I don't usually upload to Dropbox. The only mandotory step in triggering it seems to be entering the area with the Rabbit Mask on and not changing it. Should also mention I'm using default keybinds as well.