1. US citizens are not entitled to purchase a Visa on Arrival. I assume that you received a stamp in your passport allowing you to stay in Thailand for 45 days Visa Exempt Entry. You do not have a visa. 2. You can extend your stay by a further 30 days at the Immigration office for a further 30 days. After that time, you must leave Thailand. 3. You can depart at a land border crossing to an adjoining country or fly to another country. In that country, you can apply for a tourist visa or you can return to Thailand by land or air and receive another Visa Exempt stamp which will be good for 45 days.
Your extension lapsed when you departed Thailand and is no longer valid. If you wish to return to Thailand your only option is to start again from scratch. Good luck.