Congrats on the watch - as others have said it is indeed genuine.

I can't imagine the diamonds will lower the value, but as Roff said they may well put a lot of buyers off purchasing it. Anything that's non-OEM and a bit bling like that can be a bit off-putting to some. That said, the watch will still have a pretty reasonable value, and if the diamonds are good quality, they will have a monetary value on their own.
There's something definitely wrong with the mechanics though if it is only running for about an hour after a full wind. It's definitely a trip to Breitling. Incidentally I'm pretty sure Breitling
will service it even with the aftermarket bezel, despite what some AD's may say. Certainly in the UK, Breitling don't have a problem with non-OEM bezels on watches sent in for service as swapping them out isn't considered an "invasive" procedure. i.e. by changing the bezel, the factory seal of the case isn't compromised. Give BUSA a call direct and just ask the question. They will probably be able to give you a ball-park quote for the work as well.
It's probably just a simple issue that can be resolved by servicing. There are so many things that could be causing it that it would be pure guess work to try and determine what it is from the symptoms, but most issues will be simple to address in servicing.