Nanne and Tanrstrom not good picks.
As for what
@bobbop said, I get that you don't draft centers just to have centers, but at some point the Rangers need to address this problem. If you're always importing centers from other teams it's a losing battle because of the cap, mileage, and often teams aren't going to part with their best centers unless there are red flags.
The time to go crazy with centers is rounds 3-4 with the as of now 5 picks. You'll be able to throw stuff against a wall and something will stick.
I hate this whole defeatist "the Rangers can't draft a good center because they haven't in a long time" angle.
I always say, do the work. Figure out what you've been doing wrong and use analytics. If a guy has a fixable flaw (skating stride/can't play defense/etc.) but is Yannic Perrault between the dots, I'm game.
It doesn't take a physicist or advanced linear algebra PHD to know that drafting goalies in round 2 isn't going to help you on faceoffs or score goals.