Plot Holes (Spoilers)

Linc's execution date wouldn't have been set so soon after his verdict. It is also unlikely that he would have had a job. Deathrow inmates are kept away from other inmates and are rarely seen or heard.

Some inmates can stay in the same cell for years. But, they can move from cell to cell without notice. It really depends on what is going on.

It's actually possible that Sara could have been working for a couple of years. I imagine that working in a medical unit of a prison is the bottom of the barrel for a Dr. and it was her dad's influence that allowed her to keep the job at all.

It's a fictional TV series about two brothers breaking out of prison repeatedly. Of course there are going to be things that come into play that isn't really that plausible to most people. None of those things are considered a "plot hole"

That's why it's FICTION.

(3 years later but who cares...)

In the commentaries of various episodes in S1, the writers often admit they willingly sacrificed realism for the sake of furthering the story. The entire premise of the show itself is fairly ridiculous and highly unrealistic when you stop and think about it and practically everyone involved with the show had long since accepted that and embraced it by the end of the first season. To be honest, as a writer you quickly learn that if you want to tell stories that are interesting and move at a certain pace, reality is inevitably sometimes going to have to fall by the wayside. There has never been a story that is 100% realistic because, to put it bluntly, that would be incredibly boring.

Also, none of the things you pointed out (except maybe regarding Sarah) are plot holes. Plot holes are inconsistencies within the logic of the universe in which the story operates - for example, an audience being told that Bob cannot fly when it's raining under any circumstance and then seeing him flying through a monsoon with no trouble is a plot hole; two people being unable to fit on a piece of floating driftwood without tipping it, and the audience being shown that fact, is not. We don't know if in the PB universe Fox River inmates are moved on a regular basis (a practice which is hardly consistent across every single prison in real life anyway) or if it's unusual for a death row inmate to be enrolled in PI work (though the fact that he's even regularly allowed to mix with other prisoners at all suggests that, in the PB universe, it's not unusual at all). Is it realistic? Of course not, but as we've established barely anything about this series is realistic outside of fiction at all anyway.