This ordeal started on March 19th when my AA flight to Dallas was delayed by several hours for a broken piece on the plane. After several hours we were loaded onto the plane and once we were all boarded we were then told the plane was still broken and we had to unload the plane. This caused a large quantity of people wanting to go to Dallas and not enough seats. There were three of us traveling and we needed to get to Dallas for an important meeting. When the gate agent was unable to assist we asked for a manager. The manager came over and was extremely rude and obviously overwhelmed. During the brief conversation he walked away and refused to speak with us. Numerous other passengers told us they couldn’t believe how the manager acted. A little while later a female passenger was trying to speak with the manager and he was being rude to her as well so we re-approached the manager who was again rude and pushed passed us as he yelled he was calling 911. A minute later 5 state troopers arrived for a reported disturbance. They obviously quickly determined there was no disturbance and they cleared the area. This was extremely embarrassing and very unprofessional behavior. Our flight ended up leaving over 10 hours late and at the time all we received were 2 airport meal vouchers. The positives were the flight was a very new plane which was almost empty. The flight attendants were amazing and the pilot gave us one of the smoothest flights I have ever been on. After several communications back and forth with AA they offered to give us 10,000 points which I believe is a very small token based on the rude and unprofessional behavior we encountered along with the embarrassment of the police being called. We missed a day of our meeting and AA won’t be my first choice in the future.