I like what you have presented. We do want Las Vegas in there somewhere. Not sure about the PLL. We refer to ourselves as "Peccole" . I do like the baseball and the colors. Perhaps have Peccole splashed across the front instead of PLL would look better.
on number #16, let's use the same blue as you use in #24. Also, new idea, on our hats we only use the "P". Can you create something with the star and the "P" only.
By the way, I did request that another designer provide me a logo with a star. He originally had a diamond and our committee asked to see another version of his logo with a star instead of a diamond. There was nothing shady about his design. You need to remove your protest.