How soon can I get a positive pregnancy test after ovulation?!?!

My first day of my last menstrual cycle was April 24. It was a very light and quick period. Only two days long and i didnt bleed enough to use a pad or tampon.

I bought a ClearBlue Ovulation Kit and got the smiley face for my Lh surge on May 19th.

A few days later my breast were feeling tender, and swollen. I also had to pee often. So i decided to take a pregnancy test on May 24th and it came back positive instantly and it wasnt my first urination of the day.

Im extremely unsure of how far along i am and im not scheduled for my first Ob appointment until July 3rd.

Is it possible that im further along than i think because that pregnancy test came back positive 5 days after my ovulation kit came back with the surge. Or is this normal?

Today it is June 17th and i took another pregnancy test (which came back positive) because im paranoid of a miscarriage or that my pregnancy isnt viable like last time.

I guess im just looking for some insight and opinions because im not that educated and also a little upset that its taking this long to see a doctor when i have soooo many questions.