Yes, most of these can be symptoms of Lyme or one of the common co-infections, maybe babesia or bartonella or a combination. Keep in mind that there are no definitive tests for any of them yet, so even if the tests come back negative it doesn't mean you don't have one of these diseases. The babesia test only tests for 2 strains, and I think the last thing I read said there are 17 known so far.
Also, make sure your dr looks at the actual individual values, not just the CDC overall result. If you have had one of these infections for a long time, the bacteria will shut down your immune system resulting in an antibody level below the CDC threshold, but still indicative of infection if you have symptoms. That's why Lyme and co-infections are a "clinical diagnosis" by a knowledgeable physician based on symptoms (even the CDC says that)..
Research is still being done on methods of transmission, what we know for sure is they can be transmitted by infected ticks. Since the borellia spirochete prefers to hide behind biofilms and burrow into tissue, it's currently thought that body fluids are not a likely means of transmission, but it's not impossible. I have read that people with Lyme should not give blood, just in case some bacteria happen to be out and about, and babesia infects the blood and is not currently tested for by the blood banks, so that one could be transmitted through transfusion or blood exchange.
Realize also that you may have had a tick bite and not known it.
Good luck with figuring out the puzzle, and keep at it!