Yes they can.
You can get arrested and charged with vandalism
The penalty for egging will differ between states and will depend on if there was any damage to property or not. If caught egging someone's property you could be charged with trespassing, disorderly conduct, or damage to property. The penalty could be a fine, probation, or jail time.
In most if not all areas, yes. Egging a car can also damage the paint if it's not cleaned up quickly, so if you get caught you may be paying quite a bit to repaint the car in addition to any fines given by a court.
Too much candy Drinking Being hurt Egging houses Getting lost
If you egg a car and get caught, losing your license will be the least of your problems. Why? Because you will either get a fine that would empty your pockets or get a few years in the slammer!
No you can not since...yeah
yes
run
give snorlax full incense then breed
Yes
Yes it is illegal because it it vandalism.
Criminal michief and disorderly conduct... If i had to guess ;p