A few comments:
Your plan should work, but it is possible it may not be necessary if the disk is not really going bad. One thing you could do now is run an Extended SMART test on the drive and see if that passes and if it does the drive is quite likely to be OK.
A few sync errors after an unclean shutdown is expected.
The pending sectors on disk3 is not a good sign, but sometimes these can go back to 0 if they are rewritten. Ideally
CRC errors rarely in themselves indicate a problem with the actual drive as the relate to the connection between the drive and host.
the Preclear on the replacement disk is not strictly necessary unless you want it as a stress test. However a rebuil onto that drive would also act as a good stress test and would be quicker (assuming it works without error).
Since you already have a drive on order maybe the best thing to do is to proceed with your plan, and keep disk3 with its contents intact until the rebuild onto the replacement disk3 completes successfully. After that you can then run a pre-clear on the old drive to see if it passes that OK.