Are all wrestlers drawn into the bracket randomly (without regard to their districts and placing), or are they separated by district and placing?

Thank you,

The pairings of the State Tournament bracket will be District first place winner vs. District fourth place winner, and District second place winner vs. District third place winner. Bracket pairings are made by the State Tournament Committee on a random basis following the final district tournament each year

So no more district 1 v district 2 or district 1 v district 3 or 4 depending on year?

Nope