Judging by the pictures my advice would be to minimise your losses by handing this over to a scrap dealer. At best, you'd struggle to find anything that could be fitted onto this lathe (chucks, etc.) and in it's current state it is near useless. At worst, something will come apart and you'll get hurt.
Sorry to be so blunt, but IMHO these cheap devices should not be touched, with or without barge pole.