(c) is probably in connection with the traditional belief that a future Buddha has a Buddha figure upon his/her head. See the following photos for further information:
A 7th-century Cambodian sandstone sculpture of Avalokiteśvara the future buddha, with a buddha figure on his head.
A 13th-century Cambodian sculpture of Avalokiteśvara the future buddha, with a buddha figure on his head.
A Goguryeo Korean sculpture of Avalokiteśvara the future buddha, with a buddha figure on his head.
A Song Chinese sculpture of Avalokiteśvara the future buddha, with a buddha figure on his head.