Royal Gramma's are defensive, but not aggressive. The BiColor Pseudochromis will pursue other fish which it sees as a thread, attacking them and nipping aggressively at fins. The Royal Gramma, in comparison, behaves more like a Kribensis which is not spawning. It protects its area, but rarely leaves from its den.
Your tank is cycled when it no longer has ammonia or nitrite present. However, this concept is not really important in marine aquariums. The live rock will have all the bacteria necessary to process waste, assuming the rock is pre cured. The live sand contributes as well. Given that you will be adding fish slowly and running a protein skimmer, the bacteria have plenty of time to spread and adjust to new waste loads.
The real concern is how "mature" the tank is. This process takes a couple of months. The longer you wait, the better, and the more successful you will likely be long term. You want a tank flourishing with microfauna, such as copepods and amphipods. You want the diatom bloom to have come and passed. You want coraline algae to be spreading over rocks and glass. These are signs of maturity, and should occur many weeks after the cycle is complete.