I don't have a cell phone. What should I have done in this situation?
Without a cell phone I would be more concerned about other things than the parking lot, such as how people contact you when you are out?
2. If I did want people to contact me, a flip phone would work fine for that.
Without a smart phone with a data plan, it is becoming harder and harder to navigate the world made for advertizers and cellular providers. And these parking companies don't want to make it easy for you to pay for parking. They'd much rather you have a frustrating experience, take the risk of not paying and getting impounded.