Wow. Calm down, OP. You asked, lots of people answered, don't ask if you only want people to agree with you.
Snow: yep, you don't throw it at teachers. Even tiny children should respect authority enough to now that teachers aren't there to have things thrown at them.
Lunch debt: the school has a duty of care to you. If they let parents get into massive debt that they can't pay, they end up having to withhold hot lunches from children. So they draw a line in the sand, for your DC's school it's at one missed payment. My DS's school you can't even order lunch without putting money on the account, and after school club refuse sessions if you're a half term in arrears. Just try to see it from their point of view.
This sending a child to another class is humiliating business: it takes a community to raise a child, and that especially applies within a school. All of us choose to behave because we care about the people around us and the consequences of not behaving in an acceptable way. It is absolutely not humiliating to send a child to another class for misbehaving repeatedly. It gives the child time away from the adult/environment, it gives the child space to think, and it gives the child a clear consequence of their actions. Whether they are three or thirteen, if they can't behave and others are suffering as a result - which will in turn be detrimental to the individual child too - then another classroom is a perfectly viable option. Keeping them in the room can escalate the situation, potentially making a huge scene and probably resulting in the humiliation you seem so convinced happens when a child is quietly removed. I've seen my nephew kick off and he's four. I bloody hope they remove him if he does that at school, he's a danger quite frankly, to himself and others.
I'd be more happy with a teacher willing to show my child boundaries and fair consequences, and send them out of the class if that's what they need, than I would be with a teacher who didn't give a crap and couldn't be arsed with discipline. I want my DS's teachers to care about him enough to help raise him to be kind, understanding and respectful.
Finally, I know loads of teachers, several TAs, and the badass woman who serves the lunches. None of them would ever label a child 'naughty'. They're trained not to.