Just make sure I'm not missing something. Proofs that year were Philadelphia and not San Francisco mint?
There are no 62-S nickels. As for circulated, there are some nicks on the reverse that are from circulation.
I knew as the steps were a dead give away.. as Lehigh stated 1960 nickels weren't the best .....no idea the highest grade is on a ms 64 or 64 D but you can bet it's most probably not full steps. However the early 60 nickels especially the proofs are very colorful .