As far as I see it not to allow them over there is in effect a ban but it sounds a lot softer. The rationale behind them not being allowed there is that their parents are still M and it sets a bad example to see their father with another woman. He may think that nothing is wrong but teens/children are impressionable and simply have been through enough already. Yes, he needs to spend time with them but in a proper environment.
About the food stamps...this is just another thing you will be able to look BACK on and note how far you have come. One day YOU may be helping someone and telling them that you made it!
You can handle it. And our prayers are with you...