Will leaving Thailand on an education visa and returning on a tourist visa affect obtaining a second education visa?

That depends on if you were previously on an ED VISA, the initial 90 day visa, or if you were on an education extension (the stamp in your passport said extension of stay).

If you were on an extension then you were required to cancel that with documents from your school. You likely won't be able to get any new long term visa or extension until you do cancel it, and when you go to cancel it, they will charge you 500 baht per day for failing to do so, up to a maximum of 20,000 baht.

If you were only on the initial 90 day visa, then visas cannot be cancelled and you shouldn't have any issues.