Demeter wasn't some sort of superhero so she didn't really have 'powers'. However, she was the goddess of harvest. It was her that the Greeks would worship in order to ensure a bountiful reap season. Her daughter was Persephone, captured by Hades and the reason for winter.
No, she does have some powers.
I got it form this website: http://www.marvunapp.com/Appendix/demeterc.htm
Powers/Abilities: Demeter possesses the conventional attributes of the Olympian gods including superhuman strength (Class 25), stamina and vitality. She also has various mystical power primarily to control the harvesting of plants especially, but not limited, to grain. It has been theorized that her emotions are in tune to the harvest and that they are bountiful when she is happy, and that drought occurs when she unhappy. She can also cross dimensional barriers between worlds and alter her form to appear as an elderly old woman. She can invoke curses as when she cursed King Erysichthon in ancient times with insatiable hunger and endow mystical ability in sorcerers and mystics that know how to call upon her such as Clea.
Demeter's special powers are being able to control nature.
Demeter had powers over plants and the harvest, when Persephone was kidnapped by hades she grew so depressed that crops started dying, that was the first winter.
She had the power to make anyone fall in love with who ever she wanted.
persphene
demeters downfall was her daugter pereshpohne was taken and demeter was shearchig so demters crops were faling
Ceres.
Grains
Demeter's son is Persephone, who is also known as Kore. She is the goddess of the harvest and agriculture in Greek mythology.
Zues, Posiedon, and Persephone,
Cronus and rhea
Demeter does not have a husband.
wheat, crops