Option(1) is definitely true as in every boolean algebra (Complimented distributive lattice) the complements are unique definitely.
The 2nd statement is important one.
According to prof R.P Dilworth “Every lattice is a sublattice of a lattice with unique compliment”
So whether the lattice is distributive or non-distributive, in both case it will be a sublattice of a lattice with unique compliment.
So option(2) is incorrect.