Rob covered the lighting well, so I will just comment here on the plant species named in relation to light and nutrients. But I will just mention that you might want to add a bit more red into the mix; the Kelvin number is the colour temperature (nothing to do with heat, or intensity) and the lower the K the warmer (more red, less blue) the light, and the higher the K the cooler (less red, more blue). A K around 6000K-7000K does seem to work well.
Stem plants are fast growing and require good (brighter) lighting than many other plants, and with this comes more nutrients as Rob mentioned. I'm not really surprised the Cabomba is falling apart, it does the same for me. This plant needs brighter light and higher nutrients. Hygrophila difformis, or commonly Wisteria, is also a fast-growing stem plant but it may (should) do better than Cabomba with less than bright lighting. I've had mixed success with this plant.
Carpet or substrate cover plants need brighter light, as the light weakens significantly as it travels through the water. If you have these plants, try them, b ut I would suggest they likely will not last long. If your Cabomba is failing under this light, these carpet plants won't manage. Elodea is better in cooler water, room temperature, rather than the more normal tropical temperatures, but sometimes it does well.
Sword plants should be fine, at least the green-leaf varieties; the red leaf need more light. Vallisneria will probably be OK if the swords are. This is a huge species, the leaves can easily attain 3-4 feet, and Kasselman says 7 feet. I only tried this plant once, and it was in a tank with too little light. Some people do cut the leaves, but I'm not sure what that achieves. This plant does require moderately hard water, so the GH of your source water is important; if it is very soft like mine, you will need to supplement the "hard" minerals especially calcium. This has to be considered in relation to fish species obviously, and other plants.
To the nutrients. Fish foods provide all nutrients, as the waste from fish enters the substrate and is broken down by bacteria (snails help in this), and some minerals come from water changes. Depending upon the light, and the plant species, this can sometimes be sufficient. Without knowing your light (I've no experience with LED, still using T8 fluorescents) I can't offer much except to say that you will likely need a comprehensive liquid fertilizer. Swords are heavy feeders, so the larger species benefit from substrate tabs as well. I can go into this more if asked.
Byron.