Swiss should be capitalized; coworker should not be capitalized.
Capitalize o nly S i n the word Swiss because it is a proper nou n. It should be Swiss border.
No, except at the beginning of a sentence because it is n ot a proper n ou n.
Yes, you should capitalize "About" in a title.
Yes, you should capitalize the C in Century.
If a coworker is being electrically shocked, do not touch them, and shut off the power.
IT ALL DEPENDS WHAT THIS COWORKER HAS DONE. IF HE HAS BROKEN THE LAW, THEN YOU SHOULD.. IF IT'S JUST SOME PETTY OFFICE THING, THEN WORK IT OUT BETWEEN YOU.
No, you should not. You should only capitalize a word when it is at the start of a sentence or when it is a proper noun.
Yes it should be hyphenated: co-worker.
Yes you do. German, like Swiss in 'Swiss cheese', would be capitalized no matter where in the sentence it is found. Proper noun rule and proper adjective rule should be checked when in doubt.
Yes, you should capitalize "The Rotunda" as it is a specific place or location.
You should capitalize Colosseum when referring to the specific ancient Roman amphitheater in Rome.
you should modify the problem