I wrote wrong name (USCIS) on the check to TPSa nd sent the application. Is it advisable that I send an entire new application with correct check?

Wait until you either receive receipt from uscis or they return your application pkg for resubmission before u send a new one.

Last year, I sent a money order with USCIS written on it. They accepted it. So dont send new application. They may accept your application. If they dont, they will return your application and you can resend it with correct name on the check.