So, in England and Wales your son assaulted Mario. (From Wikipedia: "Assault is committed if one intentionally or recklessly causes another person to apprehend immediate and unlawful personal violence". I expect Mario expected your son was going to thump him, and that would certainly be unlawful.) You were both trespassers on the property; however it sounds like there was nobody there who could require you to leave, so that probably doesn't matter. Both of these would be true whatever the age of your daughter.
Finally, in England and Wales, if you had forced your 16-year old daughter to come with you against her will, you would both have been guilty of kidnapping. (16 is the age at which children become independent in terms of deciding where to go.) She can choose to leave home and live with her boyfriend, and there is nothing you can do to stop her.
Edit: The question did not originally mention a jurisdiction. This is an area where the legal situation is likely to be very jurisdiction dependent.