Yes, they can.
You have to pull in front of it.....repededly
Yes. There is generally no requirement that a police car attempt to make itself easy to see when looking for traffic violators.
Police can pull a person over for numerous things such as speeding, no taillights, a headlight out, or swerving.
Yes. The Sheriff's office has jurisdiction over anyone in their County or area of jurisdiction, whether it's a municipality that has its own police department, or a highway or freeway that is otherwise patrolled by the state.
A citizen can not pull over a police officer for bending the law, but you can report them to the superiors of their Police Department.
In short Yes. But since you didn't state where you live, you will need to check your local laws. In Georgia for example (I am a Deputy Sheriff in GA) I can stop people for speeding on the freeway or any road in my jurisdiction that has been approved by the state for me to run radar.
Yes.
Yes, a police officer can pull over multiple vehicles at once.
Yes
Yes!
Means the police made you pull over in your vehicle.