So I have had my cider in the carboy with two cups of brown sugar and one pack of yeast with the yeast nutrient for about 5 days and it has stopped bubbling. Is there something wrong with it? Shouldn't it ferment for at least two weeks?
That's such a small amount of sugar that it has definitely hit terminal gravity already, given the fact that you used energizer. I use about twice that amount of sugar and mine always finishes in 7 days.
A ferment will never take two weeks when it has proper nutrients.