Yes. We are capitalizing Black in all usages involving race.

It is odd, and we'd probably avoid it. So many expenditures involve thousands of dollars -- cars, tuition, vacations. Multithousand would be a pretty useless modifier.

Webster's New World does not offer up education as a modifier. We'd stick with educational.

In most usages we can find, there's no hyphen. So: inline.

They are interchangeable.

According to the stylebook, media "generally take a plural verb, especially when the reference is to individual outlets ... Sometimes used with a singular verb when referring to media as a monolithic group." The latter is clearly the case when you're talking about "the mainstream media." 

This is not necessarily a usage limited to rape: The man was murdered, the couple were robbed. If the focus is on the victim, there's no issue.

Yes. According to our style, we do not use the term "murder" until someone has been convicted in court, using "death" or "killing" instead.

We would avoid it entirely -- it's not in common usage. But your last alternative is probably the best.

Either is acceptable.

Look is something you are, which would call for the adjective different, and think is something you do, which calls for the adverb differently. So to be correct, you'd  write: It's better to be surrounded by people who look different than we do, and think differently.

Yes.

If you are using the full name, capitalize it. If you are shortening it, do not.

If you are using the full name, capitalize it. If you are shortening it, do not.

We would just capitalize the B.

We still use B.C. and A.D.

Our latest guidance:
absentee voting, early voting, mail-in voting

 Electoral systems that allow voters to cast ballots before the day of an election. Each state has its own procedures, which may involve a combination of mailing a ballot to an elections office, dropping it in a designated drop box, or voting in person before Election Day. In the past, some states required absentee voters to provide proof that they are unable to cast a vote on Election Day. Because of the coronavirus pandemic, however, many states are allowing anyone to apply for an absentee ballot. Some others plan to mail a ballot, or a form to request one, to every voter.  President Donald Trump has baselessly claimed that mail voting leads widespread fraud. The five states that before this year mailed ballots to all voters have seen no significant fraud. The terms mail-in voting, mail voting and mailed voting are all acceptable.  Hyphenate as a compound modifier: early-voting procedures, mail-in voting, absentee-ballot votes.

Yes, we'd use normal capitalization style.

Soundscape. Definie it if your audience might not be familiar with the term.

It's FAQ for one set of questions/answers: Please read the FAQ on track racing. If you have separate FAQs on different topics, it's FAQs: Please read the FAQs on track racing and mountain bike racing.

Yes, uppercase River as a matter of course.

 ... is facing challenges ...

We'll defer to Webster's New World College Dictionary and make it one word. We'll fix this entry. Thanks for pointing it out.

Yes, it's capitalized in that use. Be sure the meaning is clear from the context and previous references.

Seven-passenger car.