Companies House (UK) website works well and is linked to in an earlier post.
As said in an earlier post, Luxury Watch Repairs Ltd changed name to LWR Realisations Ltd and as someone has said they are in administration. If you click on the people tab you see Oliver Pollock as the sole Direcctor, (within "peole" clicking on the persons with significant control tab you see Talia Pollock.)
Go back to the Officers page, click on Oliver Pollock and you will see thet he is also a Director of Luxury Watch Repairs Retail Limited, same address, similar name, same activities. Phoenix from the ashes?
Make of that what you will, but I won't be sending a watch to them. I'm afriad I've no suggestions about how to get your money or watch back.