Neons are beautiful in a shoal, but personally I wouldn't add any more fish for a while, at least until your aquarium finishes cycling. Most people here will agree that the test strips are worthless, and to rely only upon a master liquid test kit. Keep a close eye on the neons, and read up about ich, and neon tetra disease...you see any neons with holes in the head, remove them IMMEDIATELY from the shoal. Hole in the head disease or neon tetra disease is HIGHLY communicable and will wipe out the rest of the group.
I would also expect some of the neons to die off, but I could be wrong. I've never kept them, and I'm not sure how hardy they are. I just know that I had a few deaths with my black neons and rummy nose tetras before my tank leveled out.... I like you, was impatient and inexperienced.
I would add a lot more plants, make sure you're over-filtering your tank (I run an Aquaclear 50 and 20 on my 38 gallon), and ask a lot of questions on here. Also, RESEARCH, RESEARCH, RESEARCH.
Knowing your fish, your plants and equipment, and understanding the cycling process will save you a lot of time, money, and heartache in the long run.
Keep up on the water changes, and remember to have fun! Good luck, sweetie. :3