Engine builder or whoever is going to hone the block should measure the pistons and then see if the bore will clean-up with a light hone. I believe some if not all pistons would be smaller than the bore size. But you just have to check what you have against the pistons used and the manufacturer clearance recommendations. Clearance varies based on piston material and intended use.
The "lines" are just normal wear marks. A light hone would be good, if clearances would still be within spec. Honing with a honing plate and type of gasket to be used in final assembly will provide the roundest bores, best ring seal and longest life. But that's usually best to do while boring to the next oversize. Using a plate with just a light hone (if it wasn't done that way before) may leave some low spots.
The reason for a plate is to simulate bore distortion caused when the heads are bolted on. That way, honing with plates makes rounder bores. Unbolt the plates and measure and you can find some out-of-roundness. But when you bolt the heads on, it goes back to the roundness achieved with the plate honing.