I will be cooking in my dorm this coming year, and I only have an electric kettle at the moment. Is there a way for me to cook rice with only this (i.e. without a stove), or should I just get one of those plastic microwave rice cookers to use in the floor lounge?
Stick to the microwave. Many college dorms are somewhat underwired for everybody bringing high-wattage appliances, have (as yours would seem to ) rules against those, and many college life safety departments will quite happily confiscate high-wattage appliances that are forbidden. Burning the place down is a BIT of a concern. Use the cooking facilities provided (there might even be a real stove someplace in the dorm you can use if you expand beyond the microwave - but if a microwave is all you have, learn to make the most of it.)