Rather than a title, your formulation reads like a directive for a sign or a declaration: No jumping from waterfall or rocks

Go with the dictionary's hyphenated spelling: pre-owned (adj.). The outdated Q&A has been removed.

Suggested rephrase: Establishing a tribal casino is neither easy nor guaranteed."

The definite article is often placed before a formal name when it stands alone: The American Legion event is scheduled next year.  But when the name is used an adjunct or modifying noun, the article often isn't used: i.e., American Legion membership data showed ...

AP uses the Great Recession for general audience. A brief explanation can be helpful, though.

Yes, girls night out can also be written as a descriptive without an apostrophe. My original answer reflects a spelling with an apostrophe often used by retailers to promote such events.

AP would spell state lowercase: state of Tennessee. The state entry says it's lowercase in all state of constructions.

AP spells out military ranks lowercase when standing alone: Briefed the colonel regarding upcoming events.

Using dictionary guidance, on board with an idea.

Correct as you have it.

Various AP stories have used both Mt. Healthy and Mount Healthy in stories from that Ohio town.  The city's website uses Mt. Healthy. The local preference would seem decisive. Is it unanimous among town authorities that the Mt. spelling is official?  Does that square with state maps and other references?

It's broadband width.

AP doesn't use the state postal abbreviation except in citing some addresses.  The state name is spelled out in full within news stories. Rather than repeat the state, suggest you rephrase the reference: I went to three towns in Tennessee: Bristol, Kingsport and Johnson City.

The dictionary accepts save as a conjunction meaning except or but. Usage probably comes down to writer's preference in a specific context.

The term isn't addressed in the AP Stylebook. However, AP stories about Japanese-Americans in World War II  usually include background along these lines: A presidential executive order in 1942 resulted in the incarceration of Japanese-Americans and Japanese immigrants from the West Coast in internment camps during World War II. They were called internees, though they were kept in prisonlike conditions -- in barracks under guard surrounded by barbed wire fences. They were deported to the interior of the U.S. merely on suspicion of being loyal to Japan. 

The adjective is female, as in female bank robber. As a noun, woman is correct. A woman robbed the bank, witnesses said.

It's not hyphenated as a noun phrase in AP usage: three special teams tackles.

Where is it written that the first two are always three-word constructions? Usage doesn't bear it out. Yes, it's lock onto.

UPDATE: AP stories use the day of the week within a seven-day range.  The date is used for time ranges beyond. The practice is the same for print and online.

If it's a multiword name, a shorter version may be used in follow-ups. When you asked previously about naming Chance the Rapper, I said he may be Chance on second reference. Or there could be a variation referring to his residence, such as the Chicago rapper.

Written as three separate words in AP stories: funeral home owners.

AP news archives show business stories using separate words: credit and debit card holder.  However, when it stands alone, cardholder is spelled as a compound.

AP stories using that formulation don't put a comma after when.

You could point out that adieus is the dictionary's first spelling of the plural form.

AP news stories don't use that symbol. However, a trademark name is capitalized.