Use a good quality multi-grade detergent dinosouar oil, not a synthetic. (Synthetic will prevent the rings from seating.) Change oil and filter if you have one at first 500 miles of easy driving, not idling in the driveway. You'll burn a little oil, may need to top it off, that's normal before the rings seat. After the oil change, go for another 1000 miles on the same type oil, should be cleaner with better oil pressure. Then decide if you want synthetic oil from that point forward. Zinc additives certainly won't harm your engine, but unless you have a non-stock valve train, or did not install hardened valve seats, the additive will not be required.