Based on the term "under the gun" I'd say the top guys would be the ones whose jobs were on the line.
That would be the 3rd line trio, who are all at risj of being traded after the playoffs are over. Johnsson, Kerfoot, and Kapanen. Then add in Dermott, as he only fits on next year's roster if he can play top 4 on the right side, so he could easily find himself off the team if it's a bad showing. And then add in Andersen. I love Freddy, but a bad playoff would be a disaster for him, and could kickstart a search for a different answer in goal.
Order them however you'd like. I'd go with:
Dermott
Andersen
Johnsson
Kerfoot
Kapanen
The immediate future of almost every other player is pretty secure, from where I'm sitting.