Ok, got it. You need different consequences because what you're doing isn't working.
Let's keep going because we're actually getting somewhere helpful - you're absolutely going to be fine here.
if X hurts Y he gets time out
Why didn't he get one for hitting you?
screams at the top of his lungs the whole time though so it’s personally torture for me
Explain that he doesn't come off until he does the time without screaming. He'll soon learn to stop screaming. After he's sat there for an hour, he'll learn that screaming doesn't get him what he wants.
Y was moved away from the cupboard 4 times whilst I tried to warm up some food, given something else
Clearly Y wasn't sufficiently distracted. What did he actually want from this behaviour? Why was he doing it? What need wasn't being met? What was the consequence for continuing?
they even have a cupboard they can ransack that doesn’t have locks on it but of course that’s the least interesting one
So, they're allowed to bang the cupboard doors but also not allowed to bang the cupboard doors? One rule - no banging the cupboard doors. The boundaries are confusing.
X was helped to look for the remote for a few minutes but I couldn’t find it so said we would after lunch
Ok, fine enough. But why did he need it and how was it left? You said you'd look after lunch and how did he respond to that? Was he just left to look by himself? Did you give him another activity to do?
I went back in to tell him to stop screaming 2 times
And, when he didn't stop, what did you do? Where was the consequence?
I put him back in a seated position on the chair and shouted ‘do not do that to ANYONE’ he just cried until he said sorry and kissed my hand
So, no actual consequence, just you getting distressed and then him getting distressed?
I do as much as possible to reduce the noise and hysteria.
You're working really bloody hard. You're clearly overwhelmed. You just need more consistent systems. This is all so fixable.