Starting a new game (by either death or by quitting back to main and starting a new one) causing control/softlock errors is a known issue that's being fixed but controls becoming unresponsive is new. I've not been able to get my local copy to have the same problem yet.
Could you e-mail your game's log to theforgottenworkshop@gmail.com? (You can do WIN+R to pull up Run and then put in "%APPDATA%" without the quotes to get to your AppData/Roaming folder; from there you'd want to go up a folder to 'AppData', down into the folder "Local" and then either "Forgotten Workshop/Unfathomed: Event Zero" or "Unfathomed: Event Zero".)
Can you also verify your game says it's "V0.02B" on the main screen? [version number is located in the bottom right]