UPDATE: So after a few months I bought all I needed to repair the trimmer.

But I still have another question: Do I need to sand the cylinder as well or only the piston?

I will sand the piston with 400 grit wet sand paper and engine oil in a cross-hatch pattern. I will only sand/smooth the raised-up filaments like you said.

So would you reccommend to sand the cylinder too (it has very light scratches, the worst one you can barely feel with a fingernail but it does reach the cylinder skirt)?