Tycker om is a particle verb consisting of a verb and a particle (which is always stressed), and they are pretty easily split. Generally the adverb goes between the verb and particle, but the object goes after, just like here.
No, I'd say that "verkligen" doesn't apply to the exclamation "really?!" in the sense of asking whether someone is telling the truth or not. I would probably instead say "är det sant?" or something like that.
So I asked a question like this before, but 'tycker' is an adjective, with 'om' after. So if an adjective has an extra 'word' after it, that extra part goes after the word it describes. Just trying to get this right.
Not much, really. It's up to companies to make policies for themselves. Most larger companies think it's perfectly fine, but may move either party if the lovebirds work together - or, worse, if one is the boss of the other.