My Polaroid Sun 600 LMS camera will not charge?

I put the brand-spankin'-new film pack into it, and the camera seemed happy (it spit out the dark slide like it was supposed to, and when I held down the trigger half-way to charge the camera, the red light came on to indicate that it was working). However, after waiting the allotted time, the red light never changed to green, and the camera has not flashed once upon fully pulling the trigger. It hasn't even spit out a blank image.

According to my research, I should be able to hear it charging, but I hear nothing despite clearly seeing the red light indicator. I've attempted to take photos in various lighting situations, all indoors, sometimes with natural light and sometimes with electric, all to no avail. It isn't an issue of temperature. It isn't an issue of distance.

Clearly, there is power, and clearly my camera receives this power to a certain extent, but it isn't flashing, and it isn't actually capturing any images. It's like it's trying to send the power to it, but halfway there it hits a wall.

Can anyone tell me what I should do? If it's a bust, that's fine, but I got my camera for a very good deal, so if I could simply replace a part rather than replacing it entirely, that would make my life. No one else seems to have had this problem that I can tell from mere Internet searching. I'm rather attached to the little guy in spite of the fact that he doesn't seem to have actually ever taken a photo.

I have wanted to own a polaroid since I was a little girl, and everything was going so well (until the fire nation attacked). Any advice would be welcome!