No, they do NOT. Use your regular low-case letters - summer, spring, autumn (or fall) and winter
No, homework does not need a capital letter unless it is the first word of a sentence.
No.
NO
no
not really
No
The abbreviation of units is usually written with a capital letter, if it is based on the name of a person.
The word king does not need a capital letter. The reason the words April, California, and Renae need capital letters at the beginning is that they are proper nouns.
No
s
YES