I tried to translate it roughly but the 3rd panel gave me trouble. I can't figure out what she says in line to the far left. She seems to be using 徫 but I can't figure out what it means...

May I ask what is this sudden love thing with Alice?

I don't think that character is supposed to be used in Japanese. I think he just miswrote 偉.
This thing (http://www.chinese-tools.com/tools/sinograms.html?q=徫) even says it can be an old version of 伟, which is the Chinese simplified version of 偉, so we're not far off either way.

"To have tea with you, of course"

Play off their jealousy, make them fight each other (shouldn't be too hard), then:
A - Run while they are fighting.
B - take down the winner of the fight since they're now weakened by the ordeal.

Be forewarned... if the attempts to make them duel fail, you'll find yourself sandwiched in the middle of a rapey threesome momentarily.