Have a look here:-
http://homepage.ntlworld.com/richandhazel1/CIS-E%20Injection%20system/CIS-E%20Injection%20system.htmThis is the fuel system that is fitted to the 1.8, 16V Golf GTI. I have highlighted the area where I think you need to look. It's very common for idle the stabilization valve to fail. Here is a quote from the manual on how to carry out a quick check on it:-
'The idle air stabilizer valve operates continuously when the ignition is on and the coolant temperature sensor is connected. To check that the valve is functioning, start the engine. The valve should vibrate and hum slightly. If the valve is not operating, check that the idle switch on the throttle valve is closed and functioning correctly. If no faults are found with the idle switch, turn the engine off, disconnect the harness connector from the valve, and check for continuity at the terminals on the valve. If there is no continuity, the valve is faulty and should be replaced.'
I have heard it is possible to fix these valves simply by removing them and cleaning them up.
After all that it'll be sods law that you have the auxillary air regulator type fitted, although I think thats unlikely.
Good luck.......let us know how you get on.
Oh and by the way, the Mk1 injection system has the metering unit to the right of the engine bay as you look at it, with the Mk2 its to the left. I would imagine the injection pipes will be different as a result. I can check the part numbers if you like?