  In this paper, we extend the analysis of a Pati-Salam subcritical hybrid
$F$-term inflation model, proposed by two of us, by studying the reheating and
the baryogenesis (via leptogenesis) of the model. This SUSY GUT model is able
to fit low energy electroweak precision data, LHC data, $b$-physics data, in
addition to inflation observables such as the tensor-to-scalar ratio and the
scalar spectral index. The reheating mechanism of this model is instant
preheating due to the bosonic and fermionic broad parametric resonance, while
the baryon-to-entropy ratio is obtained from the CP asymmetric right-handed
(s)neutrinos decay. The phases in the neutrino Yukawa matrices are fixed by
fitting to the low energy observables. With these phases, the heaviest
right-handed (s)neutrinos decay to produce a lepton asymmetry with the correct
sign, while the two lighter right-handed (s)neutrinos decay to produce the
wrong sign. Consequently, the baryogenesis analysis is necessarily performed by
including all three families of the right-handed (s)neutrinos.
