Hiya
I haven't stayed at this hotel, but I do know there is a Jewellers within the complex, however, the hotel shops are usually very expensive, although there are deals to be had. I got a beautiful ring from a hotels in house jeweller, and it is still in wonderful condition, 9 years on.
Go into Antalya, the bus service (Dolmus) runs frequently past all the hotels, and it is so easy to get into Antalya for a few coins, there is also a tram service that runs from Lara Beach into Antalya.
There is a huge array of specialised jewellers, plus some good shopping malls too.
The best one we visited was Migros Shopping Mall. It has over 100 shops, plus restaurants and cinemas too, and I believe it is open 365 days a year.
Jewellers, designer shops, shoe shops everything you could want really, and well worth a look.
You will find all the jewellery in Turkey to a very high spec, usually starts at 14ct, and they do know their stuff, and if you have any jewellery with you that looks dull, they will clean it for you, usually free of charge...............
One thing, this part of Turkey (Antalya region) does price up in Euros', so watch the prices. May be better to pay by cc, at least if you spend over £100 (which you will be doing....lol) at least your card will act as further insurance against loss or future defects, just keep receipt.
Hope this helps a little, I know you will get lots of tips from others, and have a wonderful holiday too.