Right, Pretty much all pulsars have a "slight" wine in 1st gear.. Its not loud but it is just noticeable.. If its a loud wine and you can also start to hear it through second and third then im affraid it could be the input shaft barings in the gear box
Or it will be a chipped tooth on a gear. Either way try to remember your car is between 11 and 15 years old now and at some stage in it's life, to a greater or lesser degree had the crap kicked out of it. The whine is usually only associated with 1st gear and then only when it's properly selected and your moving, it should go by the time your select second, if it's happening when your riding the clutch (tut, tut) then I suspect your clutch release bearing is worn.
As far as your selection problem goes it's more likely to be a selector fork is slightly nakerd or your syncro's are on there way out
If you do bleed the clutch fluid off and find it's black then that's because the rubber valve in the master cylinder has hardened off over time and is now breaking down, if this happens the symptoms will be poor selection through all the gears, and the only option I would recommend is to have the master cylinder replaced (not a job I would recommend for inexperienced diy mechanic).
In my opinion the only long term solution would be to have the gearbox removed, stripped, inspected and if necessary any faulty parts repaired.
Then whilst there at it and the engine and gearbox is out they can easily replace the clutch master cylinder.
Welcome to GTi-R ownership - when they're good there fantastic but when they're bad they're really bad - cheap to buy but you will spend your every last penny trying to keep it on the road