2000W for a light kick scooter is ridiculously powerful, a 1,200 Whr battery is also very large for that type of product. What is the model?
Its the most efficient means of powered personal transport, but the issue you can run into is local laws. For example, that scooter would not be allowed to be ridden here at all for numerous reasons (motor too powerful, speed is likely too fast, limit here is 35km/h, and powered push scooter is not allowed at all). You can probably get away with it, but you risk a $350 fine.
To get ~20km to work takes me less than 700Whr (thats from the wall), or ~9c of electricity. Electric car is closer to $1 for the same distance.
If you are worried about cold performance, either over-spec the batteries for the distance you need to travel, or look at LiFePO4.