From your description it seems that the camera is working properly. Another good test is to put your finger over the light sensor on the front and then trip the shutter. You should hear the shutter open. Then take your finger away from the light sensor and you'll hear the shutter close. If it does that then the shutter and light sensor are working fine. Your description of the rollers sounds normal too.
From your description, I would guess user error. Have you shot successfully with this camera before? If not, check the peeled-off part of one of the photos that you took. Did the developer pods break, or are they intact with developer inside them? If they did not break, then you are loading the camera wrong, or pulling the film wrong. There are several Youtube videos showing how to load a Polaroid pack film camera (it loads exactly the same as an Automatic 100, 450, 250, Reporter, etc). It's also easy to find instruction books for these cameras, again they are all the same when it comes to loading film.
When loading, the black tab does NOT go through the rollers or through the door, but just out the side of the camera. Make sure the black tab comes completely out when you pull it, and you should see a white numbered tab in the same place. Now take your picture and pull the white tab, which pulls the actual photo tab into the rollers. Now pull the photo tab, wait two minutes and look at your picture.
If you are debugging your camera, you can open the back without ruining the pack of film. You can actually take the whole pack out, even if you haven't finished it, it will only ruin one shot. When you put the pack back in, make sure the white tab is going out the side of the door, not through the rollers.
Anyway, I really think your camera is working fine, and that you are having some problem loading it or pulling the film. Good luck!