  In this paper, we construct suitable weak martingale solutions for
$3$-dimensional incompressible stochastic Navier-Stokes equations with linear
multiplicative noise. In deterministic setting, as widely known, ``suitable
weak solutions'' are Leray-Hopf weak solutions enjoying two different types of
local energy inequalities. In stochastic setting, we are able to show
corresponding stochastic versions of the two local energy inequalities, where a
semi-martingale term occurs as the effect of the noise. Note that the
exponential formulas, which are widely used to transform the stochastic PDEs
system into a random one, DO NOT show up in our formulations of local energy
inequality. This is different to \cite{FR02,Rom10} where the additive noise
case is dealt. Also, a path-wise result in terms of ``a.e. super-martingale''
is derived from the stochastic local energy inequalities. Further more, if the
initial vorticity is a finite Radon measure, we are able to bound the
$L^1\big(\Omega;L^\infty([0,T];L^1)\big)$ norm of the vorticity and
$L^{\frac{4}{3+\delta}}\big(\Omega\times[0,T]\times\mathbb T^3\big)$ norm of
the gradient of the vorticity.
