that's valid for me, sure, but not everyone has that money sitting around, most people won't even have that money at all, so way better to take a flight out.
yes, because immigration has records of your name, passport number, nationality, age etc, and if everything else matches you are likely to pass without issues.
I'm seeing these prices as soon as you mention DTV to them, so expect these prices, I'd say up to $1,200 would be decent, depending on the gym, of course.