Car shut off while driving?

I was driving my car on the highway going 80 MPH and the car shut off and jerked a couple of times. I assume it was because it was trying to turn itself back on because it eventually did when I was pulling to the shoulder. Nothing happened while stopped at the shoulder. I got off at an exit and at the exit it also turned off. But it turned itself back on after about a second. Pulled into a parking lot and it shut off completely going inside. Tried to turn it on and it was just cranking. Tried like two more times and on the third it turned on. I drove it home for about 20 minutes and it did not shut off. I’ve seen that it could be several issues. Any idea as to where I can get started or things I could check for. Please and thank you. From what I have seen, it may be fuel related. No check engine light. Something that I noted that has never happened was the gas gauge was off. When it first turned off in the highway it read below the full line. Once at the parking lot it marked 3/4. Now that I drove it home it went back to or near the original mark.