ya quagmire le vannu vayeko kora thik cha. But I want to add little more based on my concept.

First, you have to send official email to your college/university from your campus pipeline or campus address to the immigration advisor. Than your process begins from there. ya, they can issue ur I-20 within the same day or the  may take couple of days.

for passport and New I-94 your Immigration advisor will work out on it. after your new passport arrives( it may takes couples of month, but calm down)  they will send to the USCIS for new I-94. after that you will be in the safe side. tara visa stamp ko lagi timla 24hrs vanda badi states chodnai parcha. like u can either go 2 canada or mexico even home country.(aila H1 ko jasto rule chage vayeko cha ki rule check garnus)

But, tapaiko passport, I-20 kunai disaster ma parera harayeko ho vane yaha ko MAMA's (bujnu vayo hola) haru la yauta letter lekh diyo vane Immigration office le yahai bata process gardina pani sakcha(but not sure).

okay, good luck for your process. and let us know after ur process is done successfully.