A.V.
How do you discipline? When my DD got into her sister's makeup, she had to help me clean up and she had to apologize to SD and she had to do time out. Other times she's lost privileges (like she can't watch her TV show).
Every kid has a thing they want or love. Find it. Use it. My SD is social, so she loses her phone, internet access or permission to go hang out. SS was money and possession motivated. He had to pay fines and he lost the wires to his video games or the entire console.
http://www.empoweringparents.com/Why-Do-Kids-Children-and...#
The article mentions that you make a consequence that fits the crime and make it simple. If she lied about going to a friend's house or what happened there, then perhaps the consequence is simply, "No, you cannot play with anybody this week. You lied to me about where you were so you need to stay home."
We've also impressed on the sks that they cannot take more than they can earn. If they take, they lose. SS didn't come home on time with the car? He can't borrow the car. He has to take the bus or not go out.
You can also do things like follow up on her. Call the teacher. I wouldn't expect a 5 yr old to just bring a class pet home. I'd expect a call from the teacher asking permission.
When I drew on my mom's white bathroom wall with a marker, I had to scrub the wall. If my DD used a bunch of soap, she'd be cleaning it up and apologizing to the homeowner. If she has an allowance, she'd be buying new soap.
I would not give her any more attention than necessary in the aftermath. Don't make the crimes garner more attention. Even if you have to hear that she did wrong while you were out, go out sometimes. Don't let her hold everyone hostage.
On the flip side, if you catch her being good, say so. When she does the RIGHT thing, tell her. Teach her what to do instead. "DD you shared really nicely at Suzy's house. I was really happy to see that."