And it seems that the camera is too on the light side for that tripod head. That is a very good tripod head.
The longer plate would help, and then an even longer plate that weights a few pounds could really help smooth out the pans and tilts.
FCP X 10.2.3 – user since FCP 1.25
iMac mid 2011, MBA mid 2012
iPhone 4
HVX-200, Shure wireless mic
Miller Solo tripod
Advanta-Jib