Statement - I : When two conducting wires of different resistivity having same cross section are joined in series, the electric field in them would be equal when they carry equal current.
Statement – II  When wires are in series they carry unequal current

The electric field does not exists inside the current carrying conductor. Hence, statement 1 is false.
When the wires are in series their cross sectional area is same hence current density will be equal i.e. current through the wires is equal. Thus, statement 2 is incorrect too.