On a visa exempt entry you will get a single 30 day extension, then either border bounce for the same again or do a visa run and get a 60 day tourist visa plus then a 30 day extension on that. You can not get a tourist visa for thailand in thailand
The new online system gives a pdf download so that can be kept and reprinted ...I always take an additional screenshot and file as a backup ...I have been known to delete things haha
You got a visa exempt entry and then a 30 day extension. Only 1 extension is allowed. You will now have to do a border bounce or visa run outside of thailand and re enter
Suvarnabhumi (departure exit 2 post security, before immigration exit) is so easy its not worth a visit to an io unless youre there for another reason ...