REPLACING SPINDLE ON GAF 1588 PROJECTOR?

The take up spindle on my GAF 1588 projector is missing. All that is there is the splines the spindle goes over. I can't figure out how to 1. get the splinded part that goes thru the case to a black round piece that runs on the gear off. (The front spindle is there, but unfortunately, I can't see how it is held on) Where can I buy a replacement spindle for the take up reel, and 2. how is it held on? c clip? I would really appreciate some help on this..thanks