I also haven't done a water change on this tank in three months or so. LOL. ooopsie.
Deep: It's definitely possible to keep SPS corals in small tanks that are lit by fluorescents. The 20 nano I currently have is an example - there numerous species of SPS in the tank, and all grow like weeds for the most part.
But - I think most others on this forum would echo this thought - "oopsies" aren't permitted if you want to successfully keep SPS. Proper lighting, water chemistry and water flow are all important, of course, but
stability is just as critical.
You really can't tolerate swings in salinity from 1.027 to 1.024 in ten minutes because you forgot to add evap makeup yesterday and are correcting the problem. (Please note: I'm not saying that you might've done this, I'm just using it as an example for the diligence required).
The 20 nano I speak of is decidedly low-tech; It's lit by (currently) 2 power compacts, each of 65 watts, the skimmer is a 25-year old design (the original Tunze model that Julian Sprung rather famously used on a 15 gallon in the 1980's), and the salinity, alkalinity, calcium and magnesium are all kept constant in a totally manual manner - with drip jugs. There are no chemical absorbants in this tank (i.e., no GFO nor carbon), no calcium reactor, pretty much no nothing other than a skimmer, heater, lights, and powerheads.
I guess what I'm getting at is that equipment that doesn't work correctly will be a definite problem, but equipment that is just a little different is highly unlikely to cause a radical change in your outcomes.
Granted, the drudgery of constant water tests, vacuuming detritus, doing frequent but very small water changes, spending an hour or more a day observing everything, changing out fluorescent bulbs after 6 months, etc... isn't nearly as much fun as upgrading tanks, lights, reactors and everything else. But it's the foundation of making the whole thing work - the higher-end equipment is largely a convenience that automates some of the tasks at hand.
This is what I would suggest: examine your photoperiod, the
color temperature of your T5 HOs, not just the wattage output, the flow profile in your tank and how that flow is distributed, turn your skimmer back on, and do 5% water changes with saltwater that has been heated and aerated for at least 48 hours prior to use, and make a goal to have the salinity and all other parameters that you can measure & adjust not vary at all (at least within the measurement error of the test method) for at least a 2 month period.
It's boring as heck, I know, but fastidiousness is the key to success with the more difficult to keep animals.