I think i may have pulled out the tick body and not the head, Lyme disease?

I just got back from a backpacking trip, I was at the gym earlier today when i noticed i had another tick on me. This time it was deeper, i first tried pulling it out on my own but soon realized it was to deep. I let it stay there and continued my workout. A few hours later i went to take it out with tweezers, but it was gone, theres red spot, and i think i see a little black speck in the wond. I feel it sometimes as i walk. What should and can i do? Lyme disease?