1) Is it possible in this day and age for a young guy to be romantic and not be perceived as homosexual (or wussy)?
Of course it's possible.

2) At what point in the relationship is it appropriate to begin cooking for a romantic interest? (I've been cooking for family for years, so I've had practice)
Hey, as long as the girl you're interested in is comfortable around you then just let it happen when ever it's convenient.


3) Any entertaining suggestions on how to break the ice?
That all depends on the situation and location. Not a good answer but it's true.

4) Could someone please explain the schematics of "friend
mode?"

You both pay your own way. You always meet each other at your destination. She talks to you about other guys.

I dunno. It's hard to say. But usually you can tell when a girl only has those "friend" feelings towards you.