The correct subject-verb agreement is "doesn't" (does + not), and the verb "like" remains in its base form after "doesn't."
In English, adverbs of time (e.g., "yesterday") usually come at the beginning or end of a sentence. The most natural placement here is at the beginning.
The subject "he" requires the verb "go" to have an -s ending in the simple present tense (third person singular).
A complete sentence must have a subject ("she") and a predicate ("stayed home because it was raining"). The other options are sentence fragments.
The phrase "especially mysteries" is an additional detail and should be separated by a comma.
The subject "apples" is plural, so the verb "are" is used for subject-verb agreement.
