Api Quick start will aid cycling but it wont give you a full cycle. The only true way of doing a cycle is by using ammonia over 4-6 weeks. There's no rushing it and there's no product out there that will do it for you.
The above statement is 100% false. It is not worth dragging out the scientific evidence that proves it is false yet again. I can personally attest to the fact that it is 100% wrong by the very fact I have cycled tanks in a week or less using the proper products. In addition, can do anything I want to cycling times naturally. Add enough material with bacteria on it combined with live plants and one can set up a new tank in under two hours, stock it fully and never have an issue with ammonia or nitrite,
That said do not not believe that the API products are the correct ones. For one, API will not identify what is in their starter product. The more important consideration comes from their own literature on the product:
API® launches groundbreaking nitrifying bacteria QUICK START™ Chalfont, PA, December 1, 2011-- Mars Fishcare, North America is excited to introduce QUICK START™ to the API® family of water treatments. QUICK START isa breakthrough in the aquatics industry; allowing for the safe and immediate introduction of fish to the aquarium by immediately starting the biological filter. Containing live nitrifying bacteria with a non-refrigerated shelf life of 2.5 years, the all natural QUICK START limits toxic ammonia and nitrite which helps prevent fish loss.
From
http/www.apifishcare.com/cms/uploads/FINAL%20QUICK%20START%20Science%20Sheet.pdf
If you believe the generally accepted researched on what bacteria do the actual work in fw tanks and then one the products based on that research, they tell you:
Nitrifying bacteria can live in a bottle for a while. Many think that nitrifying bacteria cannot live in a bottle and will say the reason is because nitrifying bacteria don’t form spores like other bacteria. This is a half-truth. Nitrifying bacteria don’t form spores, but that doesn’t mean they can’t last in a bottle (think about it – if nitrifying bacteria could not survive poor conditions, how would they have survived for millions of years?) They can live in a bottle but under optimal conditions, and the time period is about one year. The nitrifying bacteria don’t die in the bottle; their activity level drops and eventually it becomes so low that there is little measurable positive effect when they are poured into the aquarium water. Provided the nitrifying bacteria in the bottle were not subject to bad environmental conditions (see the next paragraph), they can last about one year in a bottle.
No special preservation chemical or substance has been demonstrated to extend this time period. Refrigerating the bacteria is the only thing
that has been shown to measurably extend their shelf life.
From
http/www.drtimsaquatics.com/nitrifying-bacteria-mixtures-work-provided
You do not need to "go back and start again". If you wish to provide bacteria to seed your tank to facilitate and speed up the cycling process you can either add cycled material from an established tank or I would suggest you purchase either Tetra's Safe Start or DrTim's One and Only. Just add either of these products and follow the directions. By follow I mean do not try to out-think the directions, do not deviate from the directions and do not accept advice from posters suggesting that you do so.
The other thing is not to dose as much ammonia as most will suggest. dosing 1-2 ppm is fine and 3 is really the max. And do not dose ammonia daily. I suggest you read here and follow these instructions rather than the cycling sections found on most sites.
http/www.drtimsaquatics.com/resources/fishless-cycling/how-to-start
One caveat if you decide to go with the above , when he states:
Also, if you decided not to use our Live Nitrifying Bacteria in the beginning and now want to add some to speed up the process, you need to
make sure the ammonia and nitrite concentrations are under 5 mg/L-N before adding the One & Only Live Nitrifying bacteria.
He is using a different measurement scale than that used on API (and similar) kits. 5 ppm of ammonia-n will read about 6.5 ppm on the API kit. The API nitrite kit is almost useless as on it the 5 ppm-n would read 16.5 ppm and the kit only goes up to 5. You normally need to dilute samples to get usable results. There are instructions for doing this on this forum I am sure. basically you use 1/2 tank water and then add 1/2 deionized water and then multiply the result by 2. You can use a 1 to 2 mix and multiply by 3, etc.
As for the Stress Zyme it is not a direct aid for cycling. What it claims to do is help control the breakdown of organics that also cause ammonia. However, most ammonia created by fish is released during respiration from the gills. I would assume the bottle contains spores rather than live bacteria.