To address your points:
Which controller are you using? Admittedly, i never got around to making sure more than a few controllers were supported. The ones i tested with were a PS4 controller and Xbox 360 generic controller input (that of the official controller and xinput emulators on Windows). The menus do work with those controllers; their keys are bound to menu interactions. Let me know more about your controller and I'll see what I can do!
As for continue and restart not working, not sure why that's the case as they have before. I'll see if there's a new build I can push with fixes.
As for the bats, their speed is the point :) if you keep walking perpendicular to their path (90 degree angle) you should be able to pass by them without issue, though some placements are meant to catch you off guard.
Thanks for playing!