Then you have no choice. But 4 pages is enough for a new visa or Extension. Then get the new passport and transfer the Extension. As Ron says, you can't transfer the visa, but it remains valid in your old passport.
Do you have to go back to the UK? It might be easier to sort out your nonB/Extension here, then get a new passport here. It's then straightforward to get the Extension transferred to your new passport.
You will certainly need a degree to teach at an International School. There are however plenty of language schools and rural schools where it may not be an issue.
You can't get a nonB visa for teaching without a job offer and paperwork from the school. Just get a tourist visa and look for a job when you're here. Not having a degree will reduce your options, but it is not insurmountable.