Should I leave playing chess or not based On this experience

Well, if you can't record your moves during a tournament, then the tournament has a real issue with how move disputes can be resolved. If they can't have someone watching each board, ensuring that double moves are not made (as in your case), then really, they shouldn't be conducting an official tournament.

But that's another issue. For you, it is a matter of deciding what is important, and why do you enter tournaments? Personally, I would advise against caring about your rating. Once rating points "matter" to you, your chess will suffer. You will become a "rating points miser", and like a miser, your hoard of gold, never spent, will still leave you living the life of a poor peasant. Spend your rating point gains by trying a new opening, or entering a new line, be not afraid to lose those points you gained in your last game/tournament, because they are loose change in your pocket. If some jerk pulls a stunt like your recent experience at a tournament you entered knowing they couldn't monitor the games properly, then just present your side, and if it goes against you, consider it no more than the coins you may drop in the street by accident. Rating points are not "real", they should not be your goal.
As you improve, what will happen is that you will slowly gain more points than you spend because your income will exceed your expenses. Taking risks, trying new lines, or trying out a new "style of play" (if you are generally positional, try a tactical gambit line - if you are more tactical, try playing positionally - you learn by playing what you are not good at, and you are not good at what you do not play).
Basically, enjoy the game, for it can be beautiful. And, enjoy your tournament experience, for that is what it is, an experience. If jerks create chaos, you come away with a story, and you know what? More people will be interested in that story than will be interested in the moves of the game that was being played. It's life, so live it, and don't get caught up in the hype. Observe what is happening, play your part in the events, but don't forget, the part you play is your choice - nobody but you writes your lines.

Don't say that please.