[Russic]

Perhaps your assumption is correct, or perhaps it's just a 4 year old exploring the world as a 4 year old (which is to say, like a wet gremlin). Either way, any activity with a kid that makes them feel special is well beyond worth it.

1. Totally.
2. I would argue yes, if possible. You have a 3 and a 4, so you're busy as hell... it's understandable if she's stretched too thin
3. Sounds like a great idea, but I think we also overthink these types of things. Your attention is all she wants, so you could probably do next to anything... so I say pick something that'll recharge you a bit also.