I read through your other posts and have followed your progress.
I'm unsure about your sump setup. I think your running a skimmer in chamber 1?
If so, do you still have the bio balls in chamber 2? If you do I'd get rid of them now, they'll eventually collect enough detritus to be a source of Nitrates.
I saw you're running chemipure and Purigen?, or Phosguard? I'm unsure, but anyway - do you have the InTank media basket and fuge baskets? If not, check their site, they have many useful items to set up in chamber 2
including a light for growing cheato. I used to run all 3 - Chemipure, Purigen and Phosguard along with filter floss. The media basket comes with a flow diverter that fits on the wall between chambers 1 & 2 and channels the water nicely into the top of the media basket. Place your filter floss on top of the Chemipure at the top of the media basket and it'll run silent. You'll be able to easily see when the floss needs changing - change it often and don't let detritus build up to release Nitrates.
As for test kits, I like the Salifert kits because they use a definitive dilutional color change that is easy to see and you read the amount of remaining reagent in a syringe to get your results off a chart.
No comparing colors - I'm really bad at that, so these tests are the easiest for me to use and get repeatable results.
At this point you need to test for Nitrates, Phosphates, Alkalinity, Calcium and Magnesium.
Cycle - this is something that starts with bacteria and an ammonia source and hopefully never stops unless you do something bad. So a properly running tank is always cycling ammonia into
nitrates and you have to have a nitrate exporting plan. Skimming in a Biocube is inefficient at best. I just did 5 gal water changes every week and that was sufficient for a light bio load.
If your Nitrates are still high (>10ppm), just do more water changes........ don't panic or rush it, it will come down.
I waited until my Nitrates were < 5ppm to add my 2 clown fish. Then test weekly to see if your live rock/sand and Nitrate exporting method is keeping up with the bio load.
I saw you put a piece of live rock in after you were already set up and trying to get the cycle going.
I would take it out and soak it in H2O2 now. Rock is only dry rock until you get it wet, then after the cycle gets going its live rock.
No need to boost the ugly phase of a tank set up like you did by introducing live rock. You were already well on your way to a well cycling tank by using the BioSpira and ammonia - in my opinion that was a good move.
Go slow with adding livestock. I'd add an appropriate nano fish or 2 first. Hopefully you've researched what you want.
The clean up crew can be added when there's something to clean up. Right now your tank doesn't have anything to clean except maybe a little algae - but again, I'd soak that rock in H2O2 to deal with that.
If you get the refugium going in chamber 2 with cheato and a light, then get yourself some pods and dump those into the refugium - they will make their way into the display. They will add some biodiversity to the tank and pods can be a great foundation to any clean up crew. Eventually I had about 10 snails, 4 micro blue leg hermits and a fighting conch in my BioCube 29.
With weekly 5 gal water changes that was plenty to keep my Nitrates under control.
Sorry, I'm long winded.
Good luck with your reefing adventure.