I'm going to assume Byron to Winnipeg is really Byron to anywhere.

yeah sure i just put winipeg because they need depth

The depth the Jets need is really on right defense and right shot wingers.

he can play either side

I don't think it is a good fit to be honest. Byron's drop in production over the past two seasons suggest he has hit the bad part of the age curve, which also makes his contract a bit rich for his output. If the Jets don't want to promote from within, then I think it would be better to get a free agent for league minimum instead of paying 2yr x $3.4million