  Within the framework of resistive MHD, implementing the C7 equilibrium
atmosphere model and a 3D potential magnetic field realistic configuration, we
simulate the formation of a plasm jet with the morphology, upward velocity up
to 130 km/s and timescale formation between 60 and 90 s after beginning of
simulation, similar to those expected for Type II spicules. Initial results of
this simulation were published in Paper (e.g., Gonz\'alez-Avil\'es et al. 2018)
and present paper is devoted to the analysis of transverse displacements and
rotational type motion of the jet. Our results suggest that 3D magnetic
reconnection may be responsible for the formation of the jet in Paper
(Gonz\'alez-Avil\'es et al. 2018). In this paper, by calculating times series
of the velocity components $v_x$ and $v_y$ in different points near to the jet
for various heights we find transverse oscillations in agreement with spicule
observations. We also obtain a time-distance plot of the temperature in a
cross-cut at the plane $x=$0.1 Mm and find significant transverse displacements
of the jet. By analyzing temperature isosurfaces of $10^{4}$ K with the
distribution of $v_x$, we find that if the line-of-sight (LOS) is approximately
perpendicular to the jet axis then there is both motion towards and away from
the observer across the width of the jet. This red-blue shift pattern of the
jet is caused by rotational motion, initially clockwise and anti-clockwise
afterwards, which could be interpreted as torsional motion. From a nearly
vertical perspective of the jet the LOS velocity component shows a central
blue-shift region surrounded by red-shifted plasma.
