Oh dear, it sounds very stressful and quite chaotic.
I think you need to put firmer boundaries in place and start training your daughters to show a bit more respect and thoughtfulness.
Teenagers are not likely to be thinking about how they can help, and they are not going to be doing more around the house until you make them.
I'd call a family meeting, tell them are 3 of you living there, and that everyone needs to be contributing. Together. compile a list of all the things that need to be done on a daily/weekly basis. Then ask them to to think about who will do which job, they are quite old enough to do their own washing, for example, or to wield a hoover.
If the house is as bad as you are implying, can you afford to get a cleaner as a one-off to get it up to scratch so that then it becomes an issue of maintenance rather than a fight to keep your head above water? Or maybe you have a friend who could help with this as a one-off?
Then think about how you all show respect to each other. If DD2 gets upset when anyone goes into her room, why would you continue to do that? It's not a mistake that DD1 went in there, she'd been asked not to, and decided that she would go in anyway. That's not respectful. She could have given the gift in the living room, or anywhere else, tbh it sounds like an excuse on her part.
As for the throwing food, I'd stop making it. You don't need to make breakfast for young people of this age, they can get their own. They can help make a shopping list so that what they like is on it, and together you need to work out what to do to make sure everyone gets a fair share of treats.Maybe dole out the strawberries in advance, separate tubs for each person. Anyone taking someone else's share doesn't get any of the next treat. Anyone asking for the biggest share automatically gets the smallest.
I'm not clear if you are saying that you work from home, or if the house needs work. If you work from home, you need a clear, designated space to do that in. Again, if the house is in such a mess that you can't do that, get a friend in to help you re-arrange, or ask your daughters to help you organise. No-one can think straight when their surroundings are in disarray, so that needs to be sorted ASAP.
It's long haul, nothing is going to change overnight and I think outside help for the physical side of organising might give a fresh eye as to what can be done easily and what needs more of a longterm plan.
It is half term, and having them home all day no doubt makes all the squabbling worse. But it sounds like they are running the show and you are running around trying to placate them. It's like dogs, you've got to show that you are in charge.