The files on Reva's USB drive seemed to be fully accessible to everyone when it was used in Jessica Jones (2015), but now it has a security feature preventing access.
When Burstein is trying to recover his data after Luke smashes the lab, he plugs in a hard disk that has had its internal platters exposed. The drive starts up as if nothing is wrong and is readable; this is highly unlikely. Mechanical HDDs are sealed units and highly susceptible to airborne dust etc. If exposed to air, the drive would need professional bit-by-bit data recovery to be usable again.
When Mariah Dillard is giving her speech in the club, the position of her right hand varies between the microphone, the microphone stand and in the air without movement shown.
When Luke and Claire go to Mount Calvary Baptist Church, the church Luke's grandfather started, in Savannah, Georgia, there is snow on the roof and mounds of snow on the roadside. That amount of snow does not accumulate in Georgia.
Shrapnel is only removed from one of the wounds, not both.
Neither Claire nor Burstein are wearing protective breathing or eye gear when they are working with an open-air vat of hot acid (and then boiling acid). Hot acid, even below the boiling temperature, rises and disperses as vapor above the container, and it would get into their eyes and lungs, giving them internal acid burns.
When Dr. Burnstein is working through how to operate on Luke, he says that they are trying to raise the pH. Luke is in an acid bath which would actually be a lower pH.