Is it legal to stop someone for not wanting to be followed by a police car?

It was a beautiful day yesterday so I decided to drive around (after doing some shopping) enjoying the pretty day. I pass a police car that was going to pull out of a convenience store lot, and he clearly waited for me to go by then he got behind me. I slowed down so he would go around but he didn't. I turned right, he turned behind me. So I turned on the next left, he turned to. I made 3-4 more turns then he pulled me over for no reason.

He doesn't even get out of the car at first, until a second car showed up. Then, he was mean to me. He asked a lot of questions. I was nice and told him the truth that I don't like police cars following me for no reason. He asked about drugs and drinking. I asked him if my Dad called to have me followed.

We kept going in circles. He said when I slowed down and kept looking in my mirror and behind me, it was suspicious. I told him it was because he was following me for no reason. He asked why I was shaking (I was shaking a lot) and I told him because he was scaring me.

Finally, a third officer showed up. He was nice and understood. I told him that I just want peace and don't want to be followed around. He did explain that when I slow down and wave my hand for the police car to go around, it looks suspicious and he talked about the bad shootings downtown. I understood, but seriously, can they pull you over for no reason?