Your tank is cycling, which is why your water is cloudy. When you added the fish and started feeding them, the biol load on your tank increased and created Ammonia, which will eventually become nitrate and then nothing or low enough to not be harmful to most things. When you set up your tank, it seems like you added some saltwater elements, "Live rock", was that to add some bacteria to your tank?
do a water change, say about 20 gallons, and add back treated or R/O water. Check you water to see where the parameters are. Wait a day or 2 and check again. if still high do another water change. And begin to do weekly water changes, say around 10 gallons. Your water will stabilize in a week or 2 and you'll pick up a good habit, tank maintenance, lol.
As for filters, yeah, you might be a little weak of the filters, but with that little bio load you should be okay for a little while, just watch what you added to the tank. Preferably don't add anything else until your tank has finished cycling and you get yourself a filter more suitable for a 110 gal tank. See if you can get a eheim or fluval cannister to go with what you currently have, get something like the eheim 2236, it's rated for a 80 gal but should be just what you need with the other filters.
As for lighting, yeah you will need to add more if you want to have a successful planted tank. If you have a hood, can it handle lights attached to it? You can go several ways with the lights, T5's, CFL's, even t8's otherwise known as VHO's it really is up to you and your wallet, lol. So you choose. Let's get the water together first. ohh and there's some drops you can add that will clear it up too. But I would rather/prefer to go this route.
Write back if have any questions