To explore the origin of the unusual non-bulk superconductivity with a T c up to 49 K reported in the rareearth-doped CaFe 2 As 2 , the chemical composition, magnetization, specific heat, resistivity, and annealing effect are systematically investigated on nominal (Ca 1-x R x )Fe 2 As 2 single crystals with different x's and R = La, Ce, Pr, and Nd. All display a doping-independent T c once superconductivity is induced, a doping-dependent low field superconducting volume fraction f, and a large magnetic anisotropy η in the superconducting state, suggesting a rather inhomogeneous superconducting state in an otherwise microscale-homogenous superconductor. The wavelength dispersive spectroscopy and specific heat show the presence of defects which are closely related to f, regardless of the R involved. The magnetism further reveals that the defects are mainly superparamagnetic clusters for R = Ce, Pr, and Nd with strong intercluster interactions, implying that defects are locally self-organized. Annealing at 500 °C, without varying the doping level x, suppresses f profoundly but not the T c . The above observations provide evidence for the crucial role of defects in the occurrence of the unusually high T c ~ 49 K in (Ca 1-x R x )Fe 2 As 2 and are consistent with the interface-enhanced superconductivity recently proposed.