I had an issue with a bracelet once and the dealer never required me to send the existing broken one back. I'm surprised Pure Time requires that. Any way,that bracelet looks like the same Raffles Time on Ebay sells. Heck, that seller may be one in the same. As far as I know, all current Day-Date reps available have the straight SELs, so be sure to check which you have before ordering, also that one on Ebay has the older style clasp, which isn't a big issue. Oh, and be sure to ask for a bracelet with the crown logo and signed clasp. When I got mine, everything was good.
I've been able to reassemble some links before by pressing the parts in a small bench top vice. A little bit of Loctite on the pins ought to help. However, I never did wind up using the links so I can't comment on how effective the repair was.
When you get your bracelet, maybe a little bit of WD-40 on the screws, wait a bit, and then later attempt to unscrew and size the bracelet may be helpful.