Zinc is for pre-80's engines, not really needed on new materials, and it was mainly for lowering OHV cam wear, your OHC wouldn't need it.
Just my opinion though.
Yes, all the bearings and valve train should have assembly lube from rebuild.
Prior to starting the first time disable spark and crank the engine a few times(5 or 6) to fill the filter and oil passages with oil.
Break in doesn't take all that long, I would use 30w oil, you don't need multi-weight.
After starting let engine idle for 15minutes or so to get it up to operating temp, 190degF, check for leaks, coolant or oil.
Shut off engine and fix any leaks if found.
During this time, idling, the rings are seating as are any new parts, so this will generate the most debris.
Then drive it normally, up a few hills if possible to load the engine.
At 50-100 miles any defects in parts or assembly will have shown up, if all is well, then change the oil and filter, drain oil warm to get out most of the debris, then refill with your preferred brand and weight.
Break in done