Purple should probably be removed- usually I only have seen that spectrum used for a) flowering freshwater plants or macro algae/ and copepod propagation in saltwater. They have 10g LED strip light hoods at Walmart for $30 or less and an awesome single bright by marineland for a 10g for just a little bit more ($40-$45) and that's retail- makes a huge difference, from personal nano and picotope experiences that my favorite light spectra for 10g 'normal' planted was 3700K and I kept them on for 8-10 hours. I've used compact florescent, t5 and t8 florescent and LED and as far dollars to donuts- on a 10g for myself I would just get 2 desk lamps and 2 natural daylight compact florescents and spot light them on your plants and do some research on what you want your end result to be, how elaborate you want plants to be.
Root tabs have only worked for me on my bulbs, my runners and training moss on screens for carpets and back drops. I swear by flourish tabs for slow release ferts. My other liquid ferts are excel daily, florapride every other day- half dose, and nutrafin (nitrogen supplement) and black water extracts with weekly water changes (or more depending on your stock list). Word of advice on nano tank care- check your water quality daily, they are notorious for spikes, pH swings and crashes. some helpful nano tank residents are amano shrimp, fiddler crabs, oto cats and dwarf crawfish....
Good Luck!!