The cam belt should be a Gates T188 that you can have any auto parts store that deals in Gates products order for you. The last time I bought one it was less than $20. That is the easy part. Installing it, however, is a whole different story. You can do it yourself, but it helps to have a lift and a lot of time and patience. Also setting the tension on the belt is not easy seeing as Lotus uses a tension meter that is not readily available here. I ended up using the old method of finding the longest straight span between the cam and crank pulleys, twisting the belt in the middle of this span with my fingers and when I could just get a 90 degree twist, I set the tensioner. This method always seemed to work just fine for me but YMMV.
For new hoses, check this website under Parts:
The Official Lotus Esprit Fact File and you will find a cross refference chart to off the shelf hoses that will fit the Esprit. You may have to cut some of them to size, but they work.
As far as your clear coat problem, your only real option for a nice result is a full sanding and new paint. The old clear coat will continue to fail and applying new clear coat over the failing stuff will just make matters worse.