New Owner with a Few Questions

[y2blade]

Welcome along nice looking car you have there.

[ProStreetDriver]

I didn't really want to make a new thread, so I'll continue on with this one...

Been slowly poking away fixing up my car.

Just got the blower motor out today. Weirdest thing happened. As I was pulling it out, it seemed like it was stuck, by the time I got it out, it seemed to of loosened up. So I reconnected the plugs and was going to turn the ignition on to see if it was going to work. Well before I even had a chance to turn the ignition on, it started working. Good thing I didn't have my fingers near it! So I turned the ignition on and it stopped... I grabbed the unit and then it started working again. The plug housing on the back doesn't make a proper connection for some reason. Should it be working when the car is off also???