I'm in a rush and can't write any commentary, but here's the predictions for the round 2 matchups:

NY_Rangers 0.717 0.416 0.223
Philadelphia 0.546 0.276 0.132
New_Jersey 0.454 0.210 0.092
Washington 0.283 0.098 0.031

St_Louis 0.643 0.410 0.249
Phoenix0.436 0.168 0.072
Nashville0.564 0.248 0.122
Los_Angeles0.357 0.174 0.079