The answer is option D (Weeping for hours in bed is how I spent my day, broken after a long, sad week).
In a gerund phrase, the head is a verb that ends in ING. This type of phrase can fulfill all the functions of a noun. For example, in this particular case, "weeping" is the head of the subject.
A participial phrase looks like a verb but it is an adjective since it modifies a noun. In this case, the participial phrase is "broken after..."