Messages Beta: Your Experiences So Far?

I've been playing with the Messages app since it was first announced a few days ago. While just the night before, I was complaining about the lack of a Mac client for the iMessage platform, I'm now complaining about a few other bugs to be worked out.

So far the biggest annoyance is reception of messages - they're not seeming to hit the Mac in the same way they're arriving on my iPhone 4S or iPad 2. Caller ID set to email, all that jazz, still not entirely getting all the eggs in one basket.

I'd say that's the biggest annoyance, but my dock is now persistently loaded with a Messages icon which displays one new message. All the time. Whether there's a read message or not.

Anyone else having some nice beta style issues?