I'm so sorry you're in that situation, especially with the 2 kids.
Are there any family nearby who will take you in? If so, go stay with them. Make a single parent claim; you'll get tax credits to help you since you're working. Then, you'll have a bit of your own money.
Go see a solicitor; you're paying half the mortgage so he will need to buy you out at the very least, but since you have more need than him, you get more than 50% of the money leftover from a sale etc.
He will also need to pay for the kids. Since he is in employment and not self employed, then the CMS will be able to access his HMRC tax records and you will get payment from him.
You cannot stay in that marriage. Think about what it will be like when the kids get older. Right now, you can hide the financial distress from them as they are so young, but that won't last long. School parties, fairs, trios, discos, friend's birthday parties - all cost money and you'll have to say no every time.
If you really do not want to leave then get into counselling now. But, by the sounds of him, he won't go.
When he goes to work on Monday, leave. Make your benefit claim. Call the CMS (or whoever does child maintenance in ireland). And go see a solicitor for a free consultation. Write down everything abusive he has done - it will help you.
Remember, at the end of the day, when a marriage breaks down, the courts will side with whoever has the greatest need. So, you'll get money from the house. You might get spousal support but don't count on it.
Good luck.