You can't relapse if you haven't gotten to the point of remission...
You haven't been treating that long. Your Dr. wanting you to take a break so you don't herx too badly is NOT a bad thing. You seem to question everything your Dr. says/does...if you aren't comfortable with him/her why not find someone who you are comfortable with? Many people have explained to you that this is NOT a sprint. You are looking at possibly years of treatment, depending on how long you have been sick. I understand you want to get well quick, don't we all...but that isn't how Lyme is.
My suggestion to you is to go through on this board and the other and READ all the info others have posted. Look at the links. See what people are doing, read blogs, etc. I think you will get a clearer picture of what you are in for and may get your questions answered. Also, have some faith in your Dr. If he/she is truly a LLMD, they will do the best they can based on your case.