Boku no Chikyuu wo Mamotte (Please Save My Earth) - Hiwatari, Saki

Mystic dreams of a previous life in the moon lead to the bonding of seven students in an attempt to uncover the secrets behind what they have forgotten. As various truths are sought and avoided, Alice must hurry remembering if she is to save the fragile Rin from self-destruction. For only after facing the grave errors of the past, can they all move forward and live fully in the present.

(Source: MangaTraders)

Boku no Chikyuu wo Mamotte was also published in 12 bunkoban volumes, as well as 10 aizouban volumes. VIZ Media published the original 21-volume version in English as Please Save My Earth from October 29, 2003 to March 13, 2007.