It seems that you're using an outdated browser. Some things may not work as they should (or don't work at all).
We suggest you upgrade newer and better browser like: Chrome, Firefox, Internet Explorer or Opera

Whenever the game gives me control of my character, the character starts moving to the left of the screen and I can't issue any commands to them. Anyone have any ideas?
This question / problem has been solved by Bomblessimage
Do you happen to have a controller plugged into your PC (either gamepad, stick or racing wheel)? Try unplugging it and play.
Apparently the "controller" I had plugged in was a TomTom. I have no idea why, but unplugging it immediately solved the problem.
Them doctors were probably trying to move using the navigation rather than the player input haha!

Enjoy the story!