I recently resided in Asia and teaching English here. Got lots of criticism and troubles about my Canadian accent. For example, will you put the stress on the 1st syllable for MIS~chievous? Or will you say "Have a good rest!" to your students before you call it for a day? That's totally bizarre for me!

I speak what is regarded as Standard English in the U.S., but I live in the South. My husband has been speaking some form of English since he was 6, and since he's been married to an English teacher, he has gotten brutal accent lessons. Consequently, he can reasonably cringe at the "native" speakers around here, whose dialect is often unintelligible to his English-as-a-Foreign-Language, married-to-an-English-teacher mind.

I think "Have a good rest" is perhaps awkwardly phrased, but you will note the principal pronunciation, the most commonly accepted one what is listed first, DOES in fact espouse the pronunciation of mishchievous that you find unusual.

dont worry the asians doesn't like anyone whose english is better
so dont bother about it
the accent is ok and the pronunciation is ok too it doesn't matter that u speak tothem in australian or with a british accent but the grammar has tobe focused on
i think u shud use those words and lines which r commonly used in that country so that the students dont feel totally alienated it wud be good if u learn a couple of their typical phrase it helps u alot
dont worry u and the students will get used to each other
as mine have after 5 months!!!!!

Absolutely! Grammar is grammar, whether you learn English as a first language or one thereafter. Oftentimes, ESOL folks have a better handle on grammar than those of us whose first language is English.