So as I thought, this is definitely way too little going to Carolina.
What's a realistic offer from Dallas for Faulk, then?
The problem is that you are offering nothing of real value to Carolina in this deal, and certainly nothing that makes the team better.
Honka: Would either have to be waived (and likely claimed) or if the Canes chose not to waive him, they'd likely have to lose Haydn Fleury to waivers to make room for Honka. It's a zero sum gain.
Janmark: Where would he fit? Maybe he knocks Wallmark off as the 4th line C, but does that make the team materially better? On top of that, the Canes would likely lose Wallmark to waivers and then Janmark is a UFA at season's end (and he costs more now).
L'Esperance: An AHL caliber player.
4th Round pick: Canes already have two 1sts, two 2nds and two 3rds in this coming draft and had 12 picks in the last draft. A 4th round pick on it's own isn't much value, but for a team like Carolina is meaningless.
It's a bunch of pieces that aren't very valuable to Carolina, nor do they fit particularly well. IMO, Faulk should garner a late 1st or a 2nd and decent prospect as a rental, so if the Canes can't get at least that, or someone who CAN help the NHL team (even if it means adding to Faulk), then the Canes are probably better off keeping him and letting him go UFA when his contract is up.