The beaches are public, so you can bring your own chairs, towels, cooler, etc. to any beach. However, out of courtesy, it's better not to plop your towels and such in front of folks who have paid for front row chairs at a beach restaurant. I've seen the beach staff ask those discourteous folks to move. Whether they can force that or not is questionable, but common courtesy should suffice. And if you're at a beach that offers free chairs if you buy food or drink there, you should surely not bring a cooler. Sadly, I have seen that at Karakter, Some people have no class.