My step-daughter had lymes when she was a toddler. The rash doesn't always appear around the tick bite, and can fade very quickly.
TBH, your symptoms don't sound like Lymes.
I've had, and seen, similar symptoms to yours many times, they've always been what we used to call 'blood poisoning', which just means an infection travelling along the veins. People would get it when working outdoors, from a puncture wound that they didn't keep clean.
Doxycycline should sort it out.