That's not how jail/prison works, is it? (spoilers)
I don't know much about the system. But my understanding was that, when arrested, you would be held in a jail, pending trial (or bail). Not to say that jail is cozy, but I feel like it's also not as "intense" as an actual prison -- depending on which prison you go to, of course. If you were found guilty and given a significant sentence, you would serve it in a prison.
In this show, the two main characters seem to end up directly in prison after being caught with drugs, which was really strange to me. I mean, there were gangs/cliques present, and the security level seemed to be non-trivial (in contrast to prisons with open bunk-bed spaces, for example). I don't know if this was a writing mistake from a lack of research, or if maybe the writer figured that non-American audiences wouldn't really notice the problem, or maybe the writer just didn't care. Still, it bothered me that they go from the airport straight to prison in orange jumpsuits.
There's numerous other things about the plot that seem off. Why unwittingly make them drug mules? You're never going to get a cocaine-filled drum past the scanners these days (OK, you might, but it's not a very sure plan). On top of that, they just happen to end up in the cell that another faction breaks them out of. Just think if they were in any other facility or any other cell, they'd still be in that prison. What are the odds?
Probably still not absurd as them escaping a hail of gunfire by using their car to create a cloud of smoke.