Did the Ref Make the Right Call? (Palmieri vs. Ferraro)

By definition, this was a fight. Kyle Palmieri was throwing punches at Landon Ferraro. .

The Box Score will read:
19:35 NJD Kyle Palmieri Roughing - 2 min against Landon Ferraro
19:35 NJD Kyle Palmieri Roughing - 2 min against Landon Ferraro
19:35 BOS Landon Ferraro Boarding - 2 min against Stephen Gionta
19:35 BOS Landon Ferraro Roughing - 2 min against Kyle Palmieri

After watching the video, was this the right call or not? I believe the proper call should have been boarding and fighting on Ferraro. Palmieri jumped Ferraro before he could get set and should have gotten an instigator, fighting and 10-minute misconduct.