I'm not so sure that a ball falling out of your pocket is necessarily an automatic point for your opponent...at least not around here (in unofficiated matches). We tend to be a bit more laissez faire
and leave it up to the moment at hand. If it's the first time (and well into the match), it's almost always just played as a let if it ultimately ends up in the way.
But about the second ball dropping (or throwing) following a good first serve, that's probably more of a different scenario. I searched for some guidance on the USTA site and didn't find much. I imagine if you bring it to your opponent's attention...as soon as possible (...in other words, don't wait til you've lost that first set, then complain about it)...you probably have grounds for claiming/asking for a point.
That damn second ball. It can be a real boondoggle in the womens game as many of the outfits don't even have a pocket (I refuse to purchase/wear such items
). Some women roll the ball up under their lollies (yuck!...esp on clay) and I've been involved in a match where one player was asked NOT to do it. It was a hot day and the ball got heavy (if you get my drift) quickly. They do make little ball carriers that attach to your waistline but I don't suppose that's very, ah, macho.
As for how to deal with it if you want to keeping hitting with this person...work on your own concentration so it doesn't become an issue OR...do what I do against someone who doesn't like a "clean" court...I'm not shy in trying to put my return in the area of the "loose" ball. Funny how quickly they'll pick up after themselves if they lose a point or two because a ball they've
left...gets in their way.