Firstly, thanks again to everyone for their very helpful comments. Here are some replies.
@alan_fincher, yes, we have asked the RCR to replace the gear box and the drive plate. They are charging us 460 for the refurbished box but I don't know what their definition of refurbished is.
@Richard, I like the idea of being able to get the cones unstuck but I think at this point, it is beyond our ability (maybe after an engine course ).
@junior, we are at the junction between the Grand Union canal and the Stratford upon Avon canal.
@mayalid, thank you for your comments. In particular, the explanation of the difference between soft and hard drive plates. I think it may be too late to convince them to attempt to repair the box as they've already brought the parts. Should have asked on this forum a bit earlier.