1) I offer two solutions:
a) use a
DIY air difussor -bubble wand- that injects small sized bubbles and place it conveniently at least in a semicircle around half or your tank. Use a powerful enough airpump (rated for 5 gals might work well here), use a check valve to protect your airpump, and a plastic airvalve to control the adjustment of air flow.
b) you could inject O2 to your tank. A simple DIY O2 generator will suffice, it takes oxygen peroxide (H2O2) solution, a sealed glass container (any jar with good sealed lid would do), and lead.
drawbacks: temperature will play a role in the O2 reaction, you need either a room temperature close to 80F for this to work well, or to place the reactor inside a heated tank, which you can't due to our BiOrb space problem. You might get free Hidrogen gas molecules there, which is dangerously explosion prone element. Be extremely careful. I wouldn't go this way.
2) I don't see how you can add swimming space without adding another tank. We are stuck with 30 litres of water (8 US gallons), which is OK as far as volume for a very limited number of stocking options. Keep in mind that this tank is really a spheric bowl, there's no stable/constant footprint base area. A mid dweller species will have more room than either bottom or top dwellers.
3) You already have a heater. A submersible thermometer (there are cheap electronic thermometers that all you need to do is place the probe with suction cup attached inside your tank). I would downgrade the halogen lamp you have in order to save energy, avoid temperature problems, and keep it a low-light planted tank.
4) I don't think anyone would want it really, but you have it already and you can make the best out of the situation here. Let's find a way to make this useless design a good thing for your fishkeeping life! You will need to "resist the usual" (Young & Rubicam slogan) and "think outside the bun" (Taco Bell's).
5) Your actual stocking is not suitable for this "tank". I would consider the following:
Option a: Male Betta tank, with only six or seven gallons of water in it. Use a couple of floating plants (hope you can get real ones that thrive in low light) and at least one Anubias barteri. If you want tankmates you could try with a couple or trio of Ghost Shrimps and Nerite Snail.
Option b: Ghost Shrimp tank. Get five or seven of them, be creative as providing caves. Add two Nerite Snails. Keep your tank full.
Option c: Kuhli Loach tank. Get a good sand substrate, and add 3 beautiful Kuhlis in there! Of course you could add two Ghost Shrimps and a Nerite Snail. Keep your tank full.
Option d: Use as newborn fry tank. You know you're going to have more than one tank so face it from the start. This "bad purchase" could come in handy if your neons or glowlights breed.
I could give you at least another idea, but I guess you should focus on getting another tank for your actual fish or just trade them.
Don't be hard on yourself for your bad purchase, we all learn this way sometimes!
Pepe
Santo Domingo