[Donk10]

Been out to get used to the car today and it was doing really well until I had to reverse up hill a little bit, this was only a slight hill. As I started to go backwards the car started making a loud screeching noise from the front. This again happened as I parked the car outside of my house as I reversed up a dropped curb. I've already got a fuel injector problem but this seems new or is it related to that issue?

[Dazzler]

How does the clutch feel in general? Shouldn't do this on only slight inclines. Sounds more like a possible separate clutch issue to me...

[Donk10]

Reversing on a straight or going forward is no bother nor changing gear

[tw2005]

record the sound , upload it somewhere then share a link to it.

[nzenigma]

As tw2005 says, recording would help.
Very unlikely to be related to your fuel pump problem.
Poorly adjusted belts will screech.
 I would check the 2 belts on driver's side of engine. Pull on them ( with motor turned off  ) and see if any adjuster or component moves. I suspect either alternator or air con compressor is loose and it slops forward or back when you are on a slope.

[Donk10]

Just a little update, I've checked the belts and their both pretty solid. It doesn't do it all the time which is a bit weird. Just a quick question... how light should the accelerator be?

[nzenigma]

enough to hold the weight of your foot. Not too light. Try other cars .

[Doggie 1]

Is the missus in the front passenger seat?   

[Dazzler]

Is the missus in the front passenger seat?   

Or do did you have a blind and deaf cat?