Incident at the mall, pedo accusations. Your thoughts ?

I was in the mall with my lady and mom, while they were in a store I waited outside minding my business when out of nowhere a teen girl and her mom then brother and dad surrounded me an told me to erase the pictures of their teen daughters butt. I was confused but told them I did not have pictures, and to clear all doubts unlocked my phone and showed them my recent photos. They saw said I was good 👍 but the mom was still going off on me telling me she's 13. Rest of the family had sense saw i had no photos so they took her and left. I walk while looking at my phone sometimes so maybe they thought I was taking pics. 

I felt like I was owed an apology, my mom (who's visiting) and gf came out of store i didn't say anything but later when I left the restroom I saw the family who surrounded me. Their mom irked me more but I took it off on pops because honestly if things get out of control I'd rather knock out pops not mom. I got in his face told them they owed me an apology for the ridiculous claim then i made a scene honestly I'm a nice guy but was ready to throw hands, my mom and gf were confused but pulled me out of there (I was in his face). I left their family silent shook. I could see their perspective it would be unacceptable but if I unlock my phone and show you my gallery right when you accuse It feels like not apologizing to me is disrespectful. Thoughts