NEC (National Electrical Code) states a GFCI (Ground Fault Circuit Interrupt) should be used in any and all wet environments. Also, as the previous contributors mentioned, the GFCI should be rated at the current of the device(s) it serves. That said, I would recommend using a GFCI rated at 20 amps. Also the power cord should also be rated at 20 amps.
Ohms law states Voltage X Amperage = Wattage. So, 1600W / 120V = 13.3333A. Now, if your voltage is less than 120, the amperage goes up.
Looking at your pictures, it seems the connections and the wire itself might be 14ga, or smaller. 14ga. wire inside an appliance is acceptable. However, if the distance between the outlet you’re plugging in to and the appliance is greater than 10-15’ of wire length, I would use a 12ga. power cord. Bigger wire size will never cause a problem. Smaller wire size will always cause a problem — overheat.
Finally, if the GFCI appears distorted, get rid of it.
I hope this helps.