First Communion Dinner?

My daughter is taking her first communion this April. I want to throw her a small dinner afterwards with some friends. I am serving Italian food (lasagna, spagetti and meat, salad, etc.,.) I am unsure of who to invite. Do they all have to be Catholic? Do I give out favors? I know that this is a extremely important day for my daughter ( I am also taking my Confirmation this year, I am taking RCIA cles.) Any suggestions or things that are normally done at a first communtion besides the obvious? And besides the dress and veil, should I get her the gloves and other things? And should she come home and change from her dress into something else (or if she wants should I let her wear her dress all day)