Is it worth suing, and what should I do next time if I was wrongly accused of shoplifting?

My brother and I were escorted to the security room. They accused me of slipping an item under my sleeve (memory card) still wrapped in its cardboard package that is. So I show that I had nothing. I explain to them that I slipped out a cardboard from a cellphone case to try my cell for it. As for the sleeve part, I’m disabled. My left arm cannot function normal and is deformed that’s why it slips down. I was overwhelmed with stress, humiliation, rapid heartbeat. My brother is mental, but they did not bother him, but they kept him in there with me. I do not have any proof, other than my brother.