You know that this can't continue, how you actually tackle it in the end must be up to you, but there are several options.
I'm guessing he feels that 'he' contributed to the sum that you got from the remortgage because the house is in both your names, even though you are solely paying that mortgage off. I would assume that a year's worth of paying the mortgage on your own more than makes up for it, let alone the rest of the bills which you have paid.
Firstly, you can treat him like a lodger, and he has to pay a set amount for 'rent'. But that means that you don't buy him ANYTHING. Even to the point of not buying him any food, unless you include that in the 'rent'. If he doesn't want to pay, then he can move out.
Secondly, you work out your outgoings, and split them in half. Then you each contribute half of that amount into the joint account, and you pay the bills etc out of that.
Thirdly, you sit down and work out outgoings, and ingoings, and do a fair distribution, allowing each of you to have your own personal money. This would be the most ideal, proper marriage division in my opinion.
Not wanting to be the voice of gloom, but if you can find out how much he has in his account right now, you can cover yourself. If you split up now or in the near future, he is probably entitled to half the house, regardless of the fact that you have paid solely for the last year. But YOU are entitled to half of his savings as well if they accumulated in the last year while you are married, and you need to make sure you know how much he has, in case he decides to take off and hide it somewhere. If he does this, then the courts are likely to to take this into account when dividing the assets.