Hello Allen,
Just re-ringing a worn block can create bigger problems than before. Cylinders do not wear "round", they wear egg-shaped. Putting nice new round rings in worn egg shaped cylinders cause problems.
The rings in your engine may be working fine. A little cylinder wear does not mean the rings are not doing their job. A wear ridge usually indicates that an engine block may be worn too out of shape to install new rings however.
The problem is you do not know the condition of your rings. The safest and unfortunately most expensive method is to bore the block oversize to clean up wear which will make the cylinders round again. New larger pistons with rings must be installed.
Now since you do not know if your original rings are sealing you may still choose to try re-assembly with a reconditioned head only. You have a good chance of success.
Another option; remove the oil subpan, unhook a connecting rod/piston assembly and push it out the top. Examine the condition of the pistons and rings! Use a ridge reamer to remove the wear ridge at the top of the cylinder before pushing the piston out or you may break a piston ring.
Joe Alexander
Blacklick, Ohio