Often there is a small hole on the front of CD/DVD drives that you can slide a paperclip prong into it to get discs to eject in such "emergency" situations - have you checked if there is one of those on the front of your DVD/CD drive?

If the drive is not being recognised correctly then MorphOS is not likely to work correctly with it. Maybe it has "broken" hardware/firmware as far as MorphOS is concerned - what is the make/model of the drive?

It not allowing the right-mouse button context menu to open seems to be indicative of some issue with recognising the drive as the device it is, AFAIK.