Hi 757608, I am sorry that you find yourself here. Yes, it is important that you have clear lines of understanding for your H's responsibility for paying the bills. Making sure that you and your 2 young sons have a roof over their head, utilities paid, and food on the table - this is too important right now.
You should also speak to an attorney to find out what your rights are in Alaska. It does not commit you to do anything. Most Family Law attorneys will let you have a free first meeting. And with more information in dealing with this, it will give you more peace of mind.
But do NOT have any discussion at this time about your roles in the marriage, why he is doing this, or anything to do with your relationship. Pull back from your H and detach.