  We study the three dimensional stochastic Zakharov system in the energy
space, where the Schr\"odinger equation is driven by linear multiplicative
noise and the wave equation is driven by additive noise. We prove the
well-posedness of the system up to the maximal existence time and provide a
blow-up alternative. We further show that the solution exists at least as long
as it remains below the ground state. Two main ingredients of our proof are
refined rescaling transformations and the normal form method. Moreover, in
contrast to the deterministic setting, our functional framework also
incorporates the local smoothing estimate for the Schr\"odinger equation in
order to control lower order perturbations arising from the noise. Finally, we
prove a regularization by noise result which states that finite time blowup
before any given time can be prevented with high probability by adding
sufficiently large non-conservative noise. The key point of its proof is an
estimate in Strichartz spaces for solutions of a Schr\"odinger type equation
with a nonlocal potential involving the free wave.
