I'm left handed too. I was outraged when my first-grade teacher tried to switch me to righty, and my rage didn't help matters. I started writing right to left, then with "coaching" left to right but with reversed letters, then alternating lines or switching to mirrored letters in the middle of a line or .... I thought I was doing it on purpose, but not really. When she finally relented and let me use my left hand. I was still reversing things inadvertently for another two weeks.
I apparently scored a great victory for humanity. I learned years later that I was the last student she tried to switch. I'm only a bit dyslexic (which I didn't realize at the time) but too poorly coordinated to be any good at sports or play a musical instrument with rewarding facility.
Jerry