Do sewn up singularities falsify the Palatini cosmology?

We investigate further (cf. Borowiec et al. JCAP 1601(01):040, 2016) the Starobinsky cosmological model R + gamma R-2 in the Palatini formalism with a Chaplygin gas and baryonic matter as a source in the context of singularities. The dynamics reduces to the 2D sewn dynamical system of a Newtonian type (a piece-wise-smooth dynamical system). We demonstrate that the presence of a sewn up freeze singularity (glued freeze type singularities) for the positive gamma is, in this case, a generic feature of the early evolution of the universe. It is demonstrated that gamma equal zero is a bifurcation parameter and the dynamics qualitatively changes as the gamma sign is changing. On the other side for the case of negative gamma instead of the big bang the sudden bounce singularity of a finite scale factor does appear and there is a generic class of bouncing solutions. While the Omega(gamma) > 0 is favored by data only very small values of Omega(gamma) parameter are allowed if we require agreement with the Lambda CDM model. From the statistical analysis of astronomical observations, we deduce that the case of only very small negative values of Omega(gamma) cannot be rejected. Therefore, observation data favor the universe without the ghost states (f'((R) over cap) > 0) and tachyons (f ''((R) over cap) > 0).