First off, great find and welcome to the 'Register - check out the Membership pages to join up. It sounds like you have a great car with a great back story - maybe one for the club magazine
Also, stick a general location in your profile - there's nothing better than an offer of help from a local Scirocco owner when you're stuck.
A "kitless" GT is indeed a rare thing - I'm pretty sure it was only around for a year or so between being called the CL and then getting the black body kit.
The 1985 brochure actually has a GT in the same colour -
http://www.driversfound.com/scirocco/history/uk/1985/
To expand upon/emphasise the good advice already given above you really really need to start off your checks with the fuel system. Once you've checked the filler neck you need to look inside the tank.
If you lift the rear seat cushion (pull up from the back) you will see a black metal circle held in with 3 screws. Removed that and you will have access to the fuel sender unit.
You'll see two rubber hoses (fuel supply and return) and an electrical connector. These will need to be removed so make sure you have new hose clips handy before you start.
The body of the unit twists out buy may need a hammer/screwdriver to start it off.
Once out you will see another rubber hose attached to the unit. As this has sat in fuel for 33 years it may have deteriorated. It's fairly standard rubber fuel hose so easy to source.
Here's one I prepared earlier (it's from a mk1 but yours will be identical).
Shine a torch in the tank to look for debris. Hopefully you'll be greeted with sight similar to this
If you see some debris try and clean it up with something magnetic.
If all is good so far leave it alone, buy a siphon/pump off ebay/Amazon and get all the old fuel out. Then stick a few litres of fresh petrol in.
Also order a new fuel filter - you'll see it in the engine bay floating around near the cambelt cover.
Then that'll be the first of your problems sorted
