Welcome to the forum!
Ditto all of the above questions.
There are multiple threads with training info in this subforum you may find helpful. Training and Behavior Stickies
"biting, mouthing, and nipping"
"Impulse control and calmness"
"Finding a Trainer, behavior consultant, or behaviorist"
"Loose lease walking
My initial thoughts reading the description of the running and biting was that it might be "puppy zoomies" (I recommend a trainer to access).
If unfamiliar, zoomies is kinda like an explosion of energy where dogs run around, often in circles. Sometimes running into and bitting at people or other dogs. It's often triggered by excitement and/or is a way to relieve stress. All dogs will zoom at times, but if happening super frequently, it can be a sign the the dog needs more exercise and mental stimulation. And/or stress levels need to be looked at.
If needing to provide more exercise and mental stim then you might start with meals from food dispensing toys (stuffed kongs, kibble nibble, kong wobbler, tug-a-jug, buster cube, etc.) and a variety of chews (water buffalo horns, everlasting treat balls, and himalayan chews are my crew's favs) These can help you manage the barking and nipping at home too by giving your dog something to work on quietly on her own.
I would also try adding training to you dog's routine, probably starting with some of the impulse control and calmness exercises.These really work a dog and benefit overall behavior.