Continuity mistake: When Will and Sylvia are dancing at the party, the camera is in the centre of the room, panning left as it follows them. At one point, a guitar player comes into view. The camera angle changes very slightly, and he is no longer there.
Continuity mistake: When Will leaves Dayton for the first time, the car leaves Zone 12. Later it goes through Zone 8, and eventually arrives at Zone 4 (New Greenwich). But when the authorities are first checking the security footage of Will on the bridge, they have a Time Zone map on the wall, and Zone 12 and 4 are next to each other, with Zone 8 in a different direction.
Plot hole: Conceptually, there is no point in working unless you earn more time than it takes you to commute to work, work, and commute from work - literally living day by day. We are given no information on why Will's mother, on her commute home, has only 1.5 hours to live. Unless her work didn't pay her at all, why would she work that day?
Suggested correction: You described the plot perfectly, poor people have to work just to live day to day. Rachel, Will's mother, had to pay off a 2-day loan, which is why she was left her with only 90 minutes. Then the bus fare increased, which she wasn't expecting, from 1-hour to 2-hours, which explains why she had to walk home.
Character mistake: When travelling between zones, they go 12 - 10 - 9 - 8 - 7 - 5 - 4. Which is the only route you can take that includes zone 8 as shown. This is silly as there are quicker routes such as 12 - 7 - 5 - 4.
Revealing mistake: When serving on the bridge, there are multiple shots where skid marks from previous takes are visible. (00:44:20)
Continuity mistake: When the Minutemen's trap crashes Will's car, they check Will's time and say "he's got minutes. He'll wake up dead." This tells us he has very little left. When he escaped the party the night before (so this is perhaps 10-12 hours later), he had just 2 hours on his clock. Additionally, Sylvia wakes with just 32 minutes, and Will is still able to share some time with her. Yet he gives her only about 4 minutes.
Continuity mistake: When Will grabs Syvia on the dance floor and rushes her outside, Weiss takes a step towards them, but as the camera angle changes, he is back in place beside his wife (whose champagne glass is now in a different position also).
Continuity mistake: When Will is walking towards the bar where Borel is having a drink, he walks past Henry Hamilton who is surrounded by two women at the bar. The girl in the red sits with her back towards Will as he walks by. In the next shot, her back is facing the bar. (00:06:20)