Diamond + Quake + Carbon + Comms + Tower - S5-E10
Continuity mistake: MacGyver is running in Mexico City and runs into a car with driver coming down the road. When he gets up, the car is parked and no-one is inside. It is the same car with the same license plate. (00:10:10)
Diamond + Quake + Carbon + Comms + Tower - S5-E10
Other mistake: MacGyver makes a diamond in his kitchen to mount on a ring to propose to Desi. He shows it to Bozer, and - miracle of miracles - it is already faceted. (00:01:30)