In addition to what has already been said, the only things I see that need attention are the flow and the lights. The pump is fine, but you're gonna need a little more flow in the tank. 1250 gph
is about minimum for a 125 and more is better. My suggestion, currently running on a 180 and working well, would be to get a Natural Wave strip and 3 Maxi Jet 1200's. This will set you back about $120. That will give you enough flow and wave action.
The other thing I'd look at is the lights. You have just enough lighting for inverts that have low light requirements. I'd want to add some actinic though. Even if they were just NO strips, but PC
's would be better. I'm guessing you have 4x96w PC
's now. I'd add 2 more 96w actinics which would give you 4 1/2 wpg
. Then, when it was time to replace bulbs, I'd put 50/50's in place of two of the 10000k bulbs. None of this is critical "has to be done now" stuff...just something to think about. Sounds like you have done your research and are off to a great start. I agree with Timbo that you should let things run for a little while before adding anything else...just to make sure everything is stabilized. Have you tested for calcium and alkalinity? If so, what were the results?
BTW, the bacterial bloom can be set off by something as trivial as putting your hands in the tank...it will burn itself out in a few days most likely. Welcome to the site and we hope to hear more from you.