That's an issue between the buyer and the owner of the store, it's not rscmaine's concern, the watch is no longer his property, but that of the jeweller. Given the excellent deal which was transacted, one would hope that the future owner of the watch would be equally well treated by the jeweller
As for the strap, as someone who was never over keen on the TT sub, having seen the above photo, I am completely converted, so I'd say do it