I think that both the lone pairs will be in s and p orbitals

Remember hybridized orbitals are used in accommodating lone pairs and sigma bonds .
pi bond electrons reside in pure p orbitals.
There is a formula also to know hybridization of atm
sp^(N-1)
N = No of sigma bonds or atoms on that atom  + lone pairs on that atom

Maam but will the lone pairs be involved in hybridization

Hybridization is due to the mixing of orbitals and not due to mixing of electrons.
Orbitals mixed to give new set of hybridized orbitals which are identical in shape and energy.Lone pairs and sigma bonded electrons are going to occupy these orbitals.