The Lucas High-Zinc oil (or any quality high-zinc oil) should be fine for that engine. Whether it's actually necessary in a stock engine is somewhat controversial, but being a performance car I'd say it's better to be safe.
Check your driveshaft universal joints, the clunk going into reverse might be a worn universal. Also check the transmission mount. Of course it could be almost anything on a 48-year-old car. In particular all rubber parts are suspect.
The automatic transmission is a Jatco 3N71B 3-speed unit. It was designed for Dexron automatic transmission fluid. Today the best match would be Dexron-III, frequently sold as Dex/Merc. That's an old specification no longer licensed by GM but it is still manufactured by leading brands such as Valvoline. (Dexron VI is the current standard and should be backward-compatible. I've been sticking with Dex/Merc for my older vehicles.)
Check condition of the fluid. If it is burnt and gritty the trans may well start slipping with fresh fluid. (Keep the old drained fluid just in case.) Unless the transmission is slipping and you're trying to get a few more miles out of it before rebuilding do not use any additives. Also do not flush the transmission, do a drain and fill. To replace most of the fluid you would do 3 or 4 drain and fill procedures, driving for a while in between.
I found a service manual for the 1976 280Z automatic trans, it should be substantially the same as yours:
http://pdf.textfiles.com/manuals/AUTOMOBILE/NISSAN/280z/1976/AT.pdf
In 1974 the factory coolant would have been what we call "plain green" antifreeze (Nissan branded), but there could be anything in there now. If you flush the cooling system to get rid of all the old coolant you can use whatever you like in it. Today's coolants will last longer and better protect the aluminum cylinder head, the head gasket, and cooling system. (Even the green stuff today is better than it was decades ago.)
I appreciate the details. Thank you very much.