We report magneto-transport measurements in Hall bar and corbino geometry in the bilayer WSe₂ van der Waals heterostructure two-dimensional electron system, showing distinct behavior for electrons with spin-up and spin-down orientations. In WSe₂, several lowest LLs are spin-polarized (spin-up) due to the large g factor. When the spin-down levels are being filled, the conductivity is much lower than in spin-up levels, and at high fields it becomes completely localized, with the longitudinal conductance approaching zero and a wide Hall plateau lasting over a large filling factor range. Also, the conductance shows opposite temperature dependence - conductance of spin-down levels decreases with decreasing T (while the spin-up levels show the normal behavior, i.e., increasing with decreasing T). At the Landau level crossing position, we observe the manifestation of quantum Hall ferromagnetic state which gives rise to a resistance spike inside the gap.