  We present a detailed analysis of the protostellar outflow activity in the
massive star-forming region NGC 3324, as revealed by new Early Release
Observations (ERO) from the James Webb Space Telescope (JWST). Emission from
numerous outflows is revealed in narrow-band images of hydrogen
Paschen-$\alpha$ (Pa-$\alpha$) and molecular hydrogen. In particular, we report
the discovery of 24 previously unknown outflows based on their H$_2$ emission.
We find three candidate driving sources for these H$_2$ flows in published
catalogs of young stellar objects (YSOs) and we identify 15 IR point sources in
the new JWST images as potential driving protostars. We also identify several
Herbig-Haro (HH) objects in Pa-$\alpha$ images from JWST; most are confirmed as
jets based on their proper motions measured in a comparison with previous
Hubble Space Telescope (HST) H$\alpha$ images. This confirmed all previous
HST-identified HH jets and candidate jets, and revealed 7 new HH objects. The
unprecedented capabilities of JWST allow the direct comparison of atomic and
molecular outflow components at comparable angular resolution. Future
observations will allow quantitative analysis of the excitation, mass-loss
rates, and velocities of these new flows. As a relatively modest region of
massive star formation (larger than Orion but smaller than starburst clusters),
NGC 3324 offers a preview of what star formation studies with JWST may provide.
