In this article we introduce and characterize new types of soft sets in soft bitopological spaces, namely, soft (1,2)*-omega difference sets (briefly soft (1,2)*ω D-sets) and weak forms of soft (1,2)*-omega difference sets. Moreover we use these soft sets to study new types of soft separation axioms, namely, soft (1,2)*-ωj ω b D-set and soft (1,2)*ω β D-set.