On your gearbox issue, there are two things you should do, both cheap and easy, before worrying about syncro or more serious issues.
Firstly, replace the oil, its probably below the proper level and may have been in there a very long time. Do a search on the forum for details but its pretty straighforward. The hardest part is removing the undertray (if you have one). You may have to jack up the box just a tad to get to the drain plug and the filler is on the front face.
Secondly, replace the clutch slave cylinder. You should see it clearly when you take off the inlet pipework. £25ish and easy to do but an easy-bleed is recomended. They clutch shares the header with the brakes, so consider bleeding the brakes at the same time. A forum search will reveal all.
GTV and Racing Driver