Not mad, but I fear you've bought the wrong plants. I'd be staggered if Cabomba did well under the fairly dull lighting provided by the hood on your BiOrb aquarium. Even Vallisneria will be struggling for survival, and it's one of the more adaptable plants in the hobby.
For one thing, the lamp is physically small, lighting up only a smallish portion of the substrate. More importantly, it's really not a light designed for demanding plants. At best, a BiOrb is a neat if expensive gizmo rather than a serious or good value aquarium (a lot of people would say things a bit less complimentary about them, but I'm holding back).
Plain sand looks pretty, but obviously plants can't grow in it any more than you could grow a tomato plant bedded in rock chippings. For plants with roots, you need a substrate that contains, at minimum, iron and a few other essential minerals. There are various ways to do this, but one thing that doesn't work is the assumption plants "get their food from the water". Unless you fish excrete reduced iron ions (and they don't!) the plants will turn iron-deficient (i.e., yellow) quickly. Not that your plants are going to live that long, but it's worth bearing in mind for when (not if) you start over in a few weeks time.
If this was me, I'd have concentrated on a few, judiciously chosen plants that I was sure didn't need much light. Java ferns, Anubias, Java moss, and some of the hardier crypts such as Cryptocoryne wendtii would be on my list. I'd only use the latter if I had a decent substrate in the tank; the ferns, Anubias and moss are all epiphytes*, growing attached to wood, so freeing up more volume of the tank for water.
Cheers, Neale
*Unlike plants with roots, such plants actually do get the nutrients they need from the water, so tend to be extremely easy to look after.
Have I gone mad with plants? lol!