Other mistake: Savage wore a long chain-linked necklace and Chaka wore an even wider chain-linked necklace. Inmates are not permitted to keep personal items that can be used as weapons or a means to commit suicide. (00:16:10 - 01:21:15)
Plot hole: Private prisons try to maximize profits and minimizing costs. They can accept or reject any potential inmates and are notorious for accepting only non-violent, low-risk offenders who are easier to house and require less security (reducing costs). Degnan Correctional Institute had many heavily armed guards. Bones pointed out to Savage some of the gangs that were there: the Mexican Mob, Dragon Nation, Aryan Brotherhood and Black Mafia - most likely to be rejected by private for-profit prisons. (00:31:45)
Other mistake: It didn't make sense that the "fighters" were given protective gear (vests, boots, arm and elbow pads, etc.) if death was an expected outcome. Also, a private "for profit" prison is paid per number of inmates housed, so deaths in The Dungeon would reduce profits and would be avoided, not encouraged. (00:34:00)
Character mistake: "Joker" announced, "we get out of our cages once a week for one reason only. And that is, The Dungeon [where the fights are held]." The cells were in PODS, where the inmates hung out. Inmates had work assignments around the prison and walked the halls. There were outdoor exercize areas with gym equipment and basketball hoops. There was a pool table, games, TV screens, a common cafeteria, etc. - far from "getting out of cages once a week." (00:36:50)
Plot hole: Police Commissioner Clarke told arrestee Savage he could do 10 years hard time for armed robbery or "go inside Degnan [Correctional Institute] and get me what I want [evidence of civil rights violations]." Savage had not even been officially charged with any crime (s). A police commissioner does not determine what an arrestee will be convicted of or how much time will be served upon conviction. The Civil Rights Division of the Department of Justice investigates civil rights violations. (00:06:53)
Deliberate mistake: The thug wearing headphones and facing the money on the shelves did not notice that Savage forcefully opened the door several feet to his right, slamming it against the adjacent wall, or that Savage had entered the room. The bang to and vibration from the door hitting the wall should have been enough to overpower the sound from his earphones, but - even if they weren't - his peripheral vision should have sensed the door opening and Savage entering. (00:02:55)