Overall, I love the feel of this logo, I just don't think it's the direction I want mine to go. The cape on the dog makes me think of a superhero instead of a hollywood superstar, which is exacerbated by the dog looking to the sky ready to fly off. I like the font, good readability, but perhaps too tall (try stretching it a bit side to side), and either using a different font or just making Dog Care smaller and/or on the next line?
Thanks for the update, but I think we lost whatever unique-ness you had in the original. Even though the original wasn't on the right track with the theme, I think your new ones are translating the theme a bit too literal. We don't HAVE to have a star in the logo, it just seems that the ones we've picked as favorites happen to have them. It's more about the "playful" and "cool" dog character than about stars.
I am pretty sure I want Dog Care underneath Superstar and not really keen on a silhouette dog. If you're not good at drawing/illustrating, then perhaps a treatment with searchlights and a mountain (kinda hinting at the hollywood sign mountain)... ?? Not sure really, I'm not the creative one.