If your thermostat will not shut off the air conditioner until set to 85F while the room is 75F, then the thermostat needs calibration or replacement.
You can buy several bad ones too. Start buying another brand!
If the compressor is still running when the thermostat is set to 'off' then you have a problem with wiring or the circuit board mounted relay. Most likely the relay unless you have been moving around wires recently, or replaced the circuit board and might have mis-wired something.
My guess? You need to replace the thermostat again, so that it will shut off while set at 77F when the room is 75 - 77F. Your thermostat seems to keep the compressor on when the room is 75F unless you turn it up to 85F - indicating that the calibration is off by 10F.
Fred.