@Lawrence ****
Your passport has not been stolen hence you do not need a police report. Ask the immigration office near you for the 30 day extension early based on needing to renew passport. They may or may not do it. Then follow all of the steps listed on the U.S. Embassy Thailand website for mailing in to renew. Including the step where you have to purchase the courier mail back envelope on the Thai post website for 100 baht before mailing your application as you need to include the receipt. Use a built in translator for this website. Then you will wait 3-6 weeks for the U.S. Department of State to send your new passport by mail. Sometimes they are fast, sometimes they have a lot to process. Then once it arrives you must have all of your Thailand immigration stamps transferred from the old passport to the new one.