
Welcome to the forum.
I think the best thing to do would be to purchase a replacement module, they have been offered for sale on eBay with a 'summer price' of £19.99 check item number 280367380493 on the completed listings. I would drop the seller an email and ask if he has any more for sale.
The quartz crystal can be replaced cheaply enough this would probably cure the problem with the watch running so fast, the missing segment would be much more tricky and costly to repair and the repair would probably cost much more than the replacement module would.