Well, generally, it's best to have an even ratio of males to females, which could be contributing to the fighting. In this case, since Tweety is the bully, keep an eye on her and make sure she doesn't harm anyone else. If you've ever seen her fighting with any of the others, she may have to be separated permanently.
However, if Tweety is good friends with Ivy, you may consider putting Venus and Blue in their own cage and Tweety and Ivy in their own. They could still play outside of their cages together, but would be housed separately to prevent those types of arguments.
Although this is a good option, for right now I would go ahead and separate Venus first so she can heal properly without being picked on. Meanwhile, you should make sure that every budgie has their own food bowl, as well as a similar perch/swing, to eliminate the need for that type of bickering. It may be a lot, but it could significantly lower the arguments that occur. Also, once they are in the bigger cage, there will be more space for more food dishes, perches, etc, as well as space for each other.
You can put Venus' cage next to the others' cage for now, so she can still hear them and see them. If it seems she misses her friends, you can move Blue in with her and see if that makes her feel better.
When she heals and the new cage arrives, you can try putting her in with the others, but make sure they are carefully supervised. If it seems things have been resolved with the increased space and enough food bowls and perches to go around, they may be able to live together again.
However, since Tweety is the main bully, she may just be fighting with the others because she is trying to chase them away from "her" things, and it may never stop. Females tend to be aggressive and moody, especially when they are in condition, so if Tweety isn't already in condition, she may get even worse when she is.
So, my advice is to separate Venus so she can heal, and if she seems upset to leave her flock, you can put Blue in with her. Once the new cage comes, you can try to put them all together again, but at the first sign of aggression from Tweety towards anyone, she will have to be housed separately. If it is only Venus she is aggressive towards, Ivy could be housed with her, and if she's just mean to everyone, she may do better in her own cage on a permanent basis.
Budgies love music
In fact, silence means danger to them since in the wild, when the flock fell silent, it meant a predator was near. Playing music for them is a great idea, and when you leave you should leave the radio on for them
Note to other members:
Any time blood is drawn, the budgie who has been injured should be removed right away, and the bully should be caged separately in the future to avoid fights. However, since in this case, they have argued over specific things in the cage (i.e food, perches, swings) then under strict supervision only I would advise to try putting them together after they are in a new, larger, rearranged cage and observing if their relationship changes.
Keep us posted on the flock and I hope everything goes well!