We study the role of higher order couplings in extended relativistic mean-field models, along with the condensation of antikaons and hyperons, on neutron star properties. Though this approach seems to be better and inclusive, the results are sensitive to the hyperon-nucleon and antikaon-nucleon coupling constants, which are poorly known. Despite this aspect, we find that both the hyperons and the antikaons can play a significant role, even in extended relativistic mean-field models which yield softer equations of state. We find that there is a strong interplay between antikaons and hyperons affecting each other's influence on neutron star properties. We discuss the implications of our results in light of the recently observed pulsar with 1.97 ± 0.04 solar masses.