Diatoms are microscopic life that live off of
phosphate (I think) in the water. It's not uncommon for them to appear in a new tank after it's finished cycling, so yea, they can build after 5 weeks. As for how to get rid of it, get some snails in the tank.

Seriously, it goes away on its own after all the phosphate is gone. Live plants help speed the process, because they use the phosphate themselves.
It's most likely a coincidence that they appeared right after adding AmQuel Plus. I don't think it does anything that would increase the phosphates in the tank.