Toffee DS will play with DD for a little while and even play in his bedroom but I still have to listen out as she is only 2, I cant go off into kitchen and do stuff. But then DS get annoyed when she touches things and sends her back.
But this is a 6 year gap after all. I spend a lot of time reminding DS that DD has the rules he used to have and that she will not understand xyz for a while.
I feel terrible that when I do shout at him, he sometimes doesnt bat an eyelid as he so used to mad mummy rants. DD doestn know any different 
I have tried the I walk away and count and breath - this take a huge conscious effort. I also try to ask myself if this is a worth pulling him up for?
I jump onthe change to praise him. I do the same as you and apologise for shouting and any bad words.
Try standing back from your kids, are the clean and well fed? Are they poite and cooperative when out and about, say with other adults on bus/in coffee shop. Do people tell you your kids are lovely? Sometimes we can't see the wider picture when bogged down with the grind. Im really trying to pull myself up.
I have learned a lot from MN lately. SAHM's have shitty days it's really not all it is cracked up to be for everyone. But overall this is best for my family and I take my pleasures where I can when they not here making demands 
I'm trying to get into good routines for homework, reading, swimming day etc. So January I've sorted out budget, I'm cooking from scratcha and I've went back to fly thread. This all just gives me a structures. Im working on the routine more to include things for myself. I figure that if I'm better on top of things then I can focus on them when needed and Im not worrying about cooking or uniforms.
Ive goto confess I've lowered my housekeeping standards somewhat, like I let them make a mess with paints and play do if it gives me half hour on MN o to watch an episode of something.
Whats the thing with the school, and needed help, this is only a good thing? Are you worried about his education longer term? Just remember, clean and fed, good manners and we half way there...
