I guess you just have to worry about the 20k again then. I don't know if knowing the law helps here because they seem to be very arbitrary. I guess the only advice I can think of is just to try to look/act overly respectful and just have your stories straight. Seems like a visa might be helpful, but it's probably more dependent on the immigration officer than your passport.
I guess it's fairly understandable, everyone makes mistakes, I wouldn't be too worried about it.
How difficult is it to get one? It would be nice to have but not necessary if it's difficult to get. You might end up wasting almost a full day extending your visa if you plan to stay in Thailand all 70 days.
I don't really understand this, WP3 is the normal work permit? You need to be outside to apply for the visa sometimes but I've been in Thailand every time I've applied for my work permit.
Many times if you start working on the SETV they'll just try to get you to do that as long as you want. You're being pretty reckless by taking a job asking you to work on your SETV. You shouldn't be surprised when the school doesn't get your work permit when you're starting work on a tourist visa. I've had companies ask me to do that, but there are plenty of schools that do things more legally.