Building surveys are notoriously unreliable and spectacularly bad at estimating the actual condition of houses. Get an actual roofer from the local area with local experience to come and have a look.
However- here are the warning signs; leaks and slumping roof. If you don't have leaks (or only have minor leaks from missing tiles) and when you stand back and look at your roof and it doesn't look like it has a slump, chances are it's fine.
Then, get a chisel and go into your roof and inspect for signs of rot in the roof joists. If you can't tell what rot feels like, go to a timber yard and buy some fresh 2*4 timber. Then get your (sharp) chisel and shove it into the fresh wood. You will feel it bite and provide resistance. Older wood that has dried out will provide similar resistance. If it's rotten it will go much further in (think half an inch+ instead of a few mm) and will potentially be powdery and easily broken to the touch. Inspect also for any wood that is very swollen and sodden.
The chances are that your roof is in perfectly acceptable condition and that for the cost of replacing a few missing tiles it can be made watertight and servicable for years to come.
The advantages to a new roof are: will be installed with all fresh and unbroken tiles, with fresh and unbroken roofers felt. The joists will all be replaced and the facias and soffits will be replaced with PVC which is substantially longer lasting and needs far less maintenance. But for these advantages you are paying ££££. £14k+VAT is a lot of money.
If you have slumping or serious leaks, then it's a different story, and it may well be that your roof needs replacing. But if it doesn't it's just good money after bad. Also if you decide to do a loft conversion at some point, all you will do is pay twice. A huge portion of the cost of a loft conversion is the replacement roof.