"The first time I never saw the tick and never had the bullseye mark."
I share that experience, except I did see the tick. I contracted LD in Oklahoma.
FWIW, just had my 13 year old treated for Lyme disease. He did have the bullseye pattern rash but the doctor said that often the rash doesn't appear on the first exposure to the disease but will show up on subsequent exposures.
Ugh; I have a small bullseye place on my leg that I've been watching and treating at home. Didn't consider Lyme. I feel okay though. Does anything else cause the same type of skin patch?