This brief paper provides a new analysis of observational restrictions on inflationary and post-inflationary cosmological models based on results including the solid inflation model, as well as its combination with single scalar field. The first part of the paper shows that scalar spectral index and tensor-to-scalar ratio produced during inflation in the studied model are in a good agreement with the CMB observations. The second part of the paper deals with reheating scenario, so called solid remnant era with solid-like matter. A problematic feature is the possibility of superluminal propagation of perturbations, which considerably restricts the parameter space of studied models. Assuming constant pressure to energy ratio $w$, this superluminality is avoided for $w < \left(19-8\sqrt{7}\right)/3 \dot{=} -0.722$, and the behavior of scalar, vector, and tensor perturbations considerably differs from the case with perfect fluid. There is increase in the vector-to-scalar ratio during the solid remnant era, $s\propto a^{-(1+3w)}$, while the tensor-to-scalar ratio remains unchanged. This illustrates possible challenges with comparing the observational data to models similar to solid inflation.