Drawing an event that moves you, do you still do tile text?
Yes, you must always roll for the bad stuff that can happen to you for leaving a room, no matter how or why you are leaving the room.
From the official FAQ (which for some reason stopped being linked on the Wizards/Avalon Hill websites with the release of Widow's Walk):

Attic, Graveyard, Junk Room, Pentagram Chamber -- If something like the Mystic Slide causes you to leave one of these rooms involuntarily, do you still make a roll?
Yes. You roll no matter what causes you to leave.