>>2004584freewheel bros....
>>2004596Your derailleur probably moves, but the shifter isn't pulling the cable. I would remove the cable housing from your bike, pull it to expose the rusty cable, and hit it with steel wool, scotchbrit/scuff pad, or lightly with sand paper.
The rust makes shifting harder.
Then douse the shifter(on the bar) internals with a penetrant to see if it starts pulling cable. If not it's over for that shifter most likely.
Bike shops mostly want the work, but take the fastest and cheapest way, which would be either lube cables+new shifter. Not sure tbqh since I never go to them.
Rusty stem bolts I would remove, and hit with my wire wheel on the grinder, or steel wool, or sand paper.
The allen inside I use a dremel with steel wool, but you could use a screwdriver and wrap the wool on the tip, insert and spin it around to "scrub" the rust away.
As the other anon said that's just a superficial thing, NBD really but I like my bikes looking good.