Hi there Shirl,
Welcome to the forum! It is so good that you were made so aware of Lyme Disease and were able to get antibiotics so soon.
First of all, the rash associated with Lyme Disease is widely variable. It comes in all shapes and sizes and some people don't even get one. You would not necessarily see the tick. They can infect and drop off quite quickly -- also the nymphs are very small -- as small as the period at the end of this sentence. There is also evidence that insects other than ticks are carrying Lyme Disease now.
When Lyme is caught early and treated thoroughly it should not be a chronic problem. The problem is that many doctors are not treating with a strong enough dose, or for long enough.
For very good information please take a look at this site:
www.canlyme.com/ Don't stress, you are on the right track!