Context: in a world with magic, and in which Japan exists, but also in which the story doesn't take place in Japan somehow.
onegai shimasu! douka boku ni shiken no gokui wo oshiete kudasai! お願いします!どうかぼくに試験の極意を教えてください! [I] beg [you]! Please teach [me] [how to pass the exam]! (literally "the secrets of the exam".)
kore wa {boku no kokyou ni tsutawaru} dentou bunka, dogeza desu これはぼくの故郷に伝わる伝統文化土下座です This is a piece of traditional culture [that] {is passed down in my homeland}, the dogeza.
{fukai shazai ya isshou no onegai ni tsukau} hissatsu-waza desu 深い謝罪や一生のお願いに使う必殺技です [It] is a sure-kill technique [that] {[you] use in a profound apology or in an once-in-a-life request}.