Text: especially if you fantasize about how they might have looked in its heyday.

Correct capitalization: Especially if you fantasize about how they might have looked in its heyday.

Text: the 15 new dancers are being carried away by death himself, as opposed to the 24 "old dancers", who are just picked up by a corpse.

Correct capitalization: The 15 new dancers are being carried away by Death himself, as opposed to the 24 "old dancers", who are just picked up by a corpse.

Text: on the other hand, the lives of american professors dr bill fredman, head of department, and dr john graham and his black girlfriend, carol, vary greatly.

Correct capitalization: On the other hand, the lives of American professors Dr Bill Fredman, head of department, and Dr John Graham and his black girlfriend, Carol, vary greatly.

Text: between 23% and 50% of the population have a consumption of electricity that no one has any use of. 23% have turned on the light in unused rooms, 39% have unused devices turned on and 50% have unused devices on stand-by.

Correct capitalization:
Between 23% and 50% of the population have a consumption of electricity that no one has any use of. 23% have turned on the light in unused rooms, 39% have unused devices turned on and 50% have unused devices on stand-by.