Inspired by a work of Hislop and Klopp, we prove precise
Wegner estimates for three classes of Schrödinger operators,
including Pauli Hamiltonians, with random magnetic fields.
The support of the site vector potentials may be noncompact
(long-range type random perturbation) and, for one class
of the operators, the random vector potentials may be unbounded.
In particular Gaussian random fields are also treated. Wegner
estimates with correct volume dependence are applied to show
Hölder estimates of the densities of states. We give
also upper bounds on the infimum of the spectrum to show the
existence of the Anderson localization near the infimum.