Sentence check vol.12

Hello.

Can you help me with these sentences:

1.(it’s about Princess Diana) The public wanted to know all her secrets, and the media continued to exploit the Princess revealing the most intimate details of her public life. (shouldn’t it be “her private life”?)

2. In Paris, in 1997, Diana and her boyfriend, Dodi Fayed, were killed in a high speed car crash when they tried to get away from the paparazzi chasing her.(shouldn’t it be “chasing them”?)

3. Undoubtedly, it is more absorbing, addictive and fun than television or the movies. (should “the” be there? )

4. More than half consist in punching, kicking, cutting, jabbing, shooting, committing mayhem and killing moves that the game player must play in order to succeed or just survive in the electronic world. (is “player must play” correct or should it be “player must do”)

5. Psychologists compare the games to "electronic LSD". In their opinion, it is easy to become addicted to them because they allow the players to create an atmosphere of delusion. (shouldn’t it be “...allow players...”?)

Thank you