Hello and welcome to the forum.
Why do you think you need a new fork? If it’s not working correctly you can just lock it out with the dial on the fork legs. As for the rest I should buy new cables, inner and outer, remember they are different for brakes and shifters. Your photos are quite poor quality so I’m afraid I can’t see what condition the chainset is in but looks okay but a new chain might be a good idea. You’ll need a cutter for the cables.
Are the head bearings okay? Hold the front brake on and push the bars to and fro, any movement indicates wear unless it’s in the fork.
Any play in the Bottom Bracket?
Wiggle the cranks, if they move you need to replace the bearings. Videos on YouTube (also goes for the other things as well).
Are the wheels true? If not run them down to a bike shop, shouldn’t cost too much.
Perhaps some new tyres, if riding mainly on the road consider some smoother tread types.
Good luck with it.