No, unless it is part of a proper name or title such as The Miami Chapter of the Noble Order of Leopards.
Yes! But if you were saying "the fifth chapter", you wouldn't capitalize it.
yes, but the word baseball itself isn't.
It should be, in all cases, unless you are texting someone extremely informally. It's only following the rules of proper grammar; it's a proper noun.
Last week, I finished my chapter book at school.
yes. can i read a chapter? see i know :P
Yes, the first word of a chapter should be capitalized.
Yes, the word "chapter" should be capitalized when it is used as part of a specific chapter title or heading in a book or document.
The last chapter in The Battle Of the Labyrinth was very strong and left me wanting more.
Let's begin another chapter. This chapter is very descriptive of pioneer life.
page 136
No
The ending of the novel is already adumbrated [foreshadowed] in the first chapter.