Hi Steve, many thanks for posting those pages from the Instruction Manual. I didn't even know there was one, let alone a good one. I'm not sure how things went awry for you in controlling the tensioning pulley while fitting the new wheel drive belt, but you did get out of trouble in the end. I hope you were wearing safety glasses when working with that big spring - this is a serious point, not a minor quibble, powerful springs are very dangerous. Also, you need to find or replace that hook tool, or you are going to injure your hands and waste a lot of time doing that job in future.
For others reading this thread: remember, while Greenfield's wheel drive system design has remained fairly consistent over the years, the mechanism for operating the forward and reverse clutch seems to have changed several times, so the details of how you manage the clutch fork may be quite a bit different for other models.
Steve, with regard to your engine it sounds as if you are following the Briggs and Stratton "Tune Up Procedure" given in their overhaul manuals. This calls for removing the flywheel, as well as the cylinder head, and also stripping and cleaning the carburetor. It is a fairly complicated procedure unless you are experienced in engine repairs - it was intended to be carried out by qualified motor mechanics employed full-time by mower dealers. If your engine is in top condition, not using more oil than it did when it was new, and running well, my personal opinion is that having the cylinder head and flywheel removed, and the carburetor stripped, by someone who is not experienced in engine work may do harm rather than good. If you have engine overhaul experience, and your overhauls are usually successful, the Briggs tune up is a good preventative maintenance procedure and helps reduce the risk of unexpected engine problems later. Also, if you want to learn about engine repairs and you don't mind having a few things go wrong while you are learning, it is a good place to start that learning process as well. If neither of these things applies, I can suggest a much simpler tune up for you to go through that is less likely to disrupt your use of the mower in the next year or so. On the other hand if you want to go through the full Briggs tune up, we will be happy to help you through it if you wish.