The sirens that can be heard are not the same as the ones used in Jerusalem.
After Rachel and Indiana had sex, Indiana could be seen fully clothed looking out the window. In the next scene he's shown with no clothes on at all for no apparent reason.
When Miss Klein collides with something and falls to the ground, ear ringing can be heard. Since the movie takes place from the perspective of a camera, there should be no ear ringing.
In the video Rachel's friend sends to her for Tel Aviv, in the ad the woman presenter says that Tel Aviv nightlife are not what you see every day. You don't see nightlife ANY day.
When Sarah and her friends try to escape to the zion gates we can clearly see the cameraman running.
The documentary in the beginning of the movie was allegedly filmed during Yom Kippur (day of atonement), the holiest day of the Jewish year. During this day every shop is closed, there are no radio and TV broadcasts, it is a day dedicated exclusively to prayer and fasting. Under normal circumstances, no religious Jew would interview for a filming crew (the Italian priest). Then again, these are not normal circumstances.