Hello pcarlson1115
I also have a cardboard palm, it is outdoors, but right now I am not watering it a lot. I am thinking you might be overwatering the plant if you are watering it every week. This plant is quite drought tolerant, so it does not need that frequent watering. To be honest the only watering it got from me this winter is during the rains last Dec and this Feb. The temps are cold so it is not in that active growth period that will demand it to require frequent watering.
Whereabouts are you located? Just to get a fair idea of your planting zone.