When Ali and Marcus are driving, her hair is pulled up. When they arrive at his house for the party, her hair is down. The next scene shows a close up of her pulling her hair down.
Towards the end of the "Welcome to Burlesque" song when all of the girls are lined up across the stage, the girl with the black beret can be seen coming through Georgia's legs twice.
Natalie would not have been able to get inside the apartment the day after Georgia's wedding, because Jack put the chain on the door.
When Ali finishes her performance of 'Something's Got A Hold On Me' she is sitting on the floor, leaning on the chair. The next shot shows her sitting on the chair leaning her arm on the back rest.
During the end scene where Nikki brushes her hair, after she exclaims at another dancer for touching her things, she is seen throwing the hairbrush down in agitation. One second later, the camera pans back to Ali, with Nikki once again brushing her hair calmly.
You can hear feedback when Ali is onstage and Nikki sabotages the mixing console. You can not create feedback by disconnecting the inputs. Feedback is usually caused by microphones, and since the dancers were supposed to be lip-syncing at this point, the microphones on stage would not be live to create feedback anyway.
When Ali waits in the rain Jack watches Ali from the second floor. You can see the orange roof and the viewing angle. (29:31) Jack lives in apartment 316 which suggests that he lives on the 3rd floor and not the 2nd floor.
When Jack is frantically trying to find a towel, and all he can find are Ali's undergarments, when the camera pans to Jack he is wearing dry boxers in the shower.
After the song "Tough Lover," Ali asks Sean if Tess really liked it. Sean tells Ali, "I was bringing down the curtain, she stopped me." Actually, Sean asks the stagehand to lower down the curtain, and then Tess tells the stagehand to "hold it."
The only storage shown in Jack's tiny apartment is a closet, and Jack empties it for Ali. Natalie was only supposed to be away from the shared apartment short-term, so where are all of her personal belongings? She wouldn't have taken everything she owned for a short trip, and Jack would not have removed every trace of her before Ali moved in. There should be female clothes, shoes, toiletries and other accoutrements around the apartment when Ali arrives, but there are none.
When the sound goes off during "Tough Lover," the dancers are lip syncing. When Ali begins singing live, after she leaves the standing stage mic her voice is still amplified, but she would not have been equipped with a portable mic since she was not supposed to be singing live at all. Even a voice as powerful as hers would not be heard across the lounge without a microphone, especially after the band begins playing.