I would only replace the rings if there were scoring to remove from the pistons/cylinder. Or if there was an issue with a compression test. have you measured the cylinders for taper and out of round? How much ridge was at the top of the bore?
Honing removes metal, taking you another step closer to a cylinder bore job. Same as the now necessary break in period with the new rings, scratching off the cross hatch to seat the new rings.
If you have a broken ring, you have no choice, of course.
The bottom of the cylinders have a taper/ramp for helping to guide the rings. Cleaning/smoothing that helps a bit. Still need to compress rings carefully and guide them onto the cylinder walls. It can be done with your finger nails, But, it is more tedious than ring compressors. Two pistons go in at the same time. Some use band clamps from the hardware store.
Did you take the cylinders and pistons off for a reason, other than to just look at it? Can you put everything back in in the same positions you took them out of? The parts all "marry" together. Mixing them up restarts a break in process.
Oven cleaner works well on carbon. But, it will etch aluminum, as it is lye. You can still use it if you only apply it to the carbon deposits and remove the lye just as soon as it does it's job.
Cheers,