Hadrons rest mass comes from gluon field?

[dauto]

Actually it has to do with charge conservation, nothing to do with SU(2) symmetry. Majorana mass terms violate U(1) symmetries if the corresponding fermion couples to that U(1) field

Yes, that's right. that's why most fermions cannot have a majorana mass. The right handed neutrino though is a U(1)xSU(2) singlet so it doesn't couple to any of the electroweak bosons.