At around 11:50, the fencing around Sage Crove Center is shown, a psychiatric hospital. On top of the fence the barbed wire section is leaning outwards - which is used to keep people from breaking in, not out.
When the acid-spitting Supe vomits all over himself, only his face is injured by the fluid. His shirt remains completely unaffected. However, that's because that shirt was specifically created with acid-resistant properties.
(30 minutes in) The sign for the Church of the Collective building where The Deep and A-Train are meeting with Alastair Adana reads "Church of the Collective Centre". This is not how to spell "Center" in the USA and reveals the scene was filmed in Canada.
At 36:51, when Annie and Butcher flag down the car, the car has front Pennsylvania license plates. The state of Pennsylvania doesn't use front-facing license plates.