It doesn't sound like a direct attack on Christie and it looks like just from the beginning of the comment he really doesn't care about the scandal, but Rand Paul needs to be careful because Christie has baggage on Rand to with his whole plagiarism scandal a few months back and given Christie's "bully" nature, he won't step back and will try to take Rand down with him. Both scandals are bad and both incidents with Christie and Rand could ruin their Presidential hopes as Biden proved in '88, but as long as the media stays on the bridge scandal and never comes back to Rand's plagiarism, then Christie may have just helped in solidifying Rand Paul the nomination.
As for John Kasich, I can't find any recent comments from him about Christie aside from them calling each other "friends" which isn't all that bad for Kasich, but if he comes out and defends Christie in this it could backfire. I also found this
article of Kasich praising Christie as RGA and NJ Governor saying,
"Christie is going to do great out there. Are you kidding? Christie, he is like a force now. People want to be around him. He came out to Ohio during my last campaign, people just loved him. He said if you don’t elect this guy I am coming back here New Jersey style. They liked it." What Kasich doesn't realize though is Christie was at the height of his popularity then and no matter how much money Christie pours into this race, the connection for these two Governors will be very bad publicity for Kasich. The only question is, will it help or hurt Kasich more in the long-run getting Christie's financial support, but losing some Ohio voters for his awful corruption stand.