Yes Government hospitals usually give Pentavalent Vaccine ( DTwP + Hep B+ Hib) and Oral Polio Vaccine (OPV). Later they give Fractionated Injectable Polio Vaccine (fIPV) and Rotavirus Vaccine orally. Usually they give Pneumococcal Vaccine later. Pentavalent and Rotavirus Vaccination is done thrice but fIPV and PCV (Pneumococcal) twice here. In Private set up Hexavalent {DTwP or DTaP+ Hep B+ Hib+IPV( full not fractionated)} is given three times starting 6 weeks. Rotavirus Vaccine has 2 options 2 or 3 doses and PCV has 2 options PCV-10 or PCV-13 both 3 doses.

Government vaccines and private vaccines are equally effective . Vaccines given in private are acellular which means that the probability of fever and pain is less . PCV vaccine ( pneumococcal ) is not given in govt and hence has to be taken in pvt .

Yes In private you have combination vaccine along with painless option available There is also optional vaccine like pneumococcal n Rotavirus vaccine which is available