BUDGET. BUDGET. BUDGET!!! The numbers you provided just don’t look realistic to me. You are spending your emergency pot because it doesn’t actually exist yet, you haven’t been thorough/honest/realistic with your budget planning.
Please, sit down and do a proper budget as mentioned already. Every single penny spent needs to be written on that budget.. If you buy your boys a treat on a regular occurrence it needs to be on that budget, if you buy a pint once a week it needs to be on there somewhere, etc.
Once you have included EVERYTHING (it really really needs to be everything) then there may be small cut backs available on trivial items but you are not being realistic until you have a real living budget!
Even when you think you have been realistic, there will still be other things that pop up that you have forgotten about, add them and create a new budget immediately. It’s a very scary process when in debt BUT it is the only way to find solutions.
You will feel relieved once it is all written down regardless of how bad it looks.
P.S. Do a budget :0)