I'm near you, OP, and I have those transistors. If you bring the board I can replace it while you wait, or you can just buy the transistor and do it yourself. I'm around today. PM me for my address.
Here's my guess as to what happened: You wired the coil backwards, so that the power went through the diode instead of the coil. This instantly fried the diode, the driver transistor, and the fuse. It's why the flipper didn't move when you first tried it. Removing the (now shorted) diode helped, but the driver transistor is still shorted, so now the flipper energizes by itself.
Allan