  We determine contact homology algebra of a subcritical Stein-fillable contact
manifold whose first Chern class vanishes. We also compute the genus-0 one
point correlators and gravitational descendants of compactly supported closed
forms of their subcritical Stein fillings. This is a step towards determining
the full potential function of the filling as defined in
\cite{EliashbergGiventalHofer}. These invariants also give a canonical
presentation of the cylindrical contact homology. With respect to this
presentation, we determine the degree-2 differential in the Bourgeois--Oancea
exact sequence of \cite{Oancea}. As a further application, we proved that if a
K\"{a}hler manifold $M^{2n}$ admits a subcritical polarization and $c_1$
vanishes in the subcritical complement, then $M$ is uniruled.
