Towards the end, when Peggy is performing, she is supposed to be playing the guitar but she is only strumming it, one of her hands, which is supposed to be changing the notes, is simply holding the guitar.
The term "jam [session]" is used inaccurately at Camp Rock. A "jam session" is meant to be a musical act that is played without extensive preparation or arrangements. In the "jam" sessions featured at Camp Rock, all music and dancing appears well-rehearsed, defeating the true sense of a "jam session".
In the scene where they are in the lunch room and Kaitlynn throws spaghetti at Tess, the spaghetti hits her and she turns away, causing it to hit her shoulder. In the next camera shot the spaghetti is tucked into her shirt.
When Mitchie and her mom first arrive in Camp Rock with the catering truck, it's parked behind Tess' limousine, but when Mitchie says "Whoa," she is looking behind instead of looking at the limo, which was in front. When Tess gets out of the car and Mitchie says "Whoa" again, she is still looking behind.
At the last moment of "We Rock," when everyone screams "Camp Rock!" and turns around to focus on Mitchie and Shane, Mitchie's arm goes down, but when the camera pans back to them, Mitchie's arm is up in the air.
After Uncle Brown wakes Shane up for his class by pouring water on him, the water goes from being super-saturated in a few streaks on his clothing in one shot to making his entire shirt look slightly damp in the next shot.
Mitchie was banned from participating in The Final Jam because she was "banned from all camp activities until after the end of Final Jam." However, she participates in the final number "We Rock!" It seems that she would have been replaced because it appears she doesn't get to do anything, including rehearsals, until Final Jam was over. This number occurs after Final Jam, but it seems logical she would have been replaced, yet she just jumps up and performs like it was planned all along and she had never been banned from participating in activities.
When Mitchie sings "This is Me" and finishes the chorus, the camera shows Shane turning around and he says "That's the song." This implies he kept his back turned during her singing a verse and chorus of the song. Even though this is an unexpected performance and he likely would have turned around at the start of hearing an unplanned and unannounced performance.
Richie's mom Connie, a caterer, takes a job as the cook at Camp Rock because "business is slow in the summer." There's something wrong in this. In weddings alone, summer (May through October, actually) is when caterers are in peek demand. Connie's statement would infer that either public interests naturally incline toward winter weddings or that highly atypical and undisclosed circumstances prevent her business from tapping into the most lucrative part of the year.
At the end of the film in the last song, the camera man can be seen in several shots at the back of the room (top right of the screen) when the audience is shown; however, this fits in with the story because, when Nate and Jason were with Shane shortly before Final Jam, Nate says, "The press is here and they're gonna cover the whole night." Camera crews are often included in "the press," especially for pop stars.