Dmitry , Tell us about your main tank.
Its best to think of live rock as a source of filtration, put it in your tank and wait DONT use fish to cycle. You can use a piece of fresh shrimp from a fish market or just wait until the water is safe. Don't add medicine to get the tank stable as it will go through different stages for around a year.
This hobby requires patience!
I dont believe in QT tanks because moving fish from tank to tank causes stress. I would think PVC and a HOT filter should be enough for a QT tank.
Also i dont know much about using cyclopeze i think they make a flake food which can lead to problems in a small tank.
IMO, i would not add pieces of frozen food without rinsing it first, in my 25g with a big skimmer a half of cube rinsed with RO/DI water can cause PO4 & NO3 problems, i would check for this before ammonia along with pH and a temperature swing of more then 4 degrees in a day.
BTW, its 3:50 in the morning and I've been drinking since 7PM so this might not make sense, maybe someone else can help!!!!