I really think the Stars logo would be so much improved if they did away with the words in it. Still it's in part the reason why this point goes to the Flames logo.
Burning hot Flames and a burning hot Star. Now that seems like a draw. But in fact, fire is just part of a star. There's so much more.
Appropriate logos. Strong colors. I like them both. The Stars logo needs a bit of work. Liven things up. Bring it into the 21st century a little bit. The Flames logo can probably stay like it is forever. Nothing wrong with that. Its staying power will help give it this point.