Robust and dynamic localization of self-reproducing autocatalytic chemistries is a key step in the realization of heritable and evolvable chemical systems. While autocatalytic chemical reaction networks already possess attributes such as heritable self-reproduction and evolvability, localizing functional multispecies networks within complex primitive phases, such as coacervates, has remained unexplored. Here, we show the self-reproduction of an RNA system within charge-rich coacervates where catalytic RNAs are produced by the autocatalytic assembly of constituent smaller RNA fragments. We systematically demonstrate the catalytic assembly of active ribozymes within phase-separated coacervates --- both in micron sized droplets as well as a coalesced macrophase, underscoring the facility of the complex, charge-rich phase to support these reactions in multiple configurations. By constructing multispecies reaction networks, we show that these newly assembled molecules are active, participating both in self- and cross- catalysis within the coacervates. Finally, these collectively autocatalytic reaction networks endow unique compositional identities to the coacervates which in turn transiently protect the identity against external perturbations, due to differential molecular transport and reaction rates. Our results establish a compartmentalised chemical system possessing a compositional identity possessing a balance between robustness and variability required for chemical evolution.