At the beginning of the Our A-Story is a "D" Story, the prison has "Hollywood" in its name, but the D is then crossed out on various signage across the prison after the D on the Hollywood sign was stolen.
This follows the trend of "Hollywoo" completely replacing the name "Hollywood" after the events of that episode, so presumably the prison was referred to as "Hollywoo Hills Super-Max" from that point on.
Character Actress Margo Martindale was in this prison for a short time as well.
In Our A-Story is a "D" Story Todd is solicited by two gangs while in prison: the Aryans and the Latin Kings. He is torn between which gang to join, as the two gangs ask him to make a decision about which one he wants to join, at the upcoming prison mixer.
He calls BoJack multiple times for both advice on his situation, and to possibly get bail altogether, but is either ignored or dismissed.
The Hollywood "D" is then en route, to be returned from Mr. Peanutbutter's house to its original location when one of Mr. Peanutbutter's celebratory fireworks downs the helicopter. It crashes into the prison Todd is being kept at, where he is moments away from being curb-stomped by both gangs after they found out that he was trying to please both at once. He is saved by the ensuing jailbreak.
The living room of BoJack's old house is seen with the series finale of Horsin' Around playing on the TV. There is a mess of shards of broken glass, a bag of spilled chips, drugs, a stack of Horsin' Around Blu-rays on the couch, and a bottle of vodka.
The new family who lives there arrives, and is shocked to find the mess. Outside of the window BoJack is seen floating unconscious in the pool.
BoJack wakes up at the hospital to find himself under arrest for breaking and entering. The news then runs a segment for BoJack's trial. BoJack is sentenced to Super-Max Prison for fourteen months.
A year later BoJack is seen directing a prison production of Hedda Gabler with his inmates. A security guard comes and allows him to leave for the weekend to go see Princess Carolyn and Judah's industry wedding. He is then picked up from prison by Mr. Peanutbutter.