The 5000K will be better suited to the fish than the 10000K, as you have noticed. Blue light penetrates water better than red, so more of the 10000K will get through and this will bother the fish.
Water Sprite...I would grab a few plants. This species does not like being moved to a new environment, and I have seen this even in moving a plant from one tank to another. But if light is good (5000K will be) and nutrients are available, it should settle in over a few weeks.
The best species for floating is
Ceratopteris cornuta. At this point I will paste an excerpt from a profile on this species I wrote several years ago elsewhere.
The leaves, or more correctly fronds, since this is a true fern, can be somewhat variable in shape due to light, nutrients and water parameters. This makes identification of this species difficult, and it is often encountered in the literature under the names Ceratopteris pteridioides and C. thalictroides, although both these are now accepted distinct species. C. pteridioides has blunt-lobed fronds (leaves), while C. thalictroides has fronds that are deeply pinate with tips more slender than the subject species. There is some uncertainty over the taxonomy and distribution of Ceratopteris thalictroides and C. cornuta with some botanists considering these as one single species. There are currently (2018) five recognized distinct species in the genus Ceratopteris.
Daughter plants are readily produced from the sporangia on the older and alternate fronds. When left floating, the fronds may extend up to 50 cm (20 inches) across, and will block light from entering the aquarium; this is particularly useful to provide a darker environment such as for spawning fish. As the individual plants increase, adventitious plants will appear on alternate fronds; these daughter plants can be separated and used as individual plants and the parent plant discarded in order to keep the water surface more open.
In my 90g, specimens of this beautiful plant easily reached across the width of the tank (18 inches) and half the length (24 inches) if left alone, and such a plant might have 30 or more daughter plants on the alternate fronds.