Because of the human-Time Lord meta crisis, she became part Time Lord and because Donna is a human having The Doctor's mind was too much for her, it was killing her, so he had to wipe her mind otherwise she would burn up.
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The Doctor erased Donna's memory to save her life because her mind couldn't fully process all the knowledge and power she acquired during their journey together, which would have caused her severe brain damage or death. It was a heartbreaking decision, but it was the only way to keep her safe.
No, Donna does not remember the Doctor after their adventures together due to the traumatic effect it would have on her. She has her memory of him wiped to save her life.
Donna Noble had her memory of the Doctor erased to save her life, after a traumatic event would have overwhelmed her mind. She went on to live a normal life, unaware of her adventures with the Doctor.
There is no air or water on the moon, therefore nothing to erase it.
The Doctor was freed from the Pandorica by Rory, who unknowingly helped Amy remember him by temporarily restoring her memories using the Pandorica's restoration field. This act of love and memory caused the universe to reboot and bring the Doctor back to life.
The Crack is a recurring motif in the TV series Doctor Who that serves as a crack in the fabric of the universe through which various dangerous entities can enter or escape. It plays a significant role in the broader story arcs of the series, particularly during the Eleventh Doctor's tenure. The Crack is featured prominently in the fifth series of the show.