Looks good, and Welcome to HBT. I think that you mis typed your OG. It should be around 1.090 1.095 with 13# in a 5 gallon batch.
As for using the oak...I'd definitely recommend it, but it will not mellow the Vanilla, It will intensify it. The vanilla will mellow on it's own in no time, in fact, it will become almost non noticeable as vanilla within a few years.
Seriously. I'm here for BEER
It's Not The Size Of Your Rig That Counts....It's How Often You Use It.