This article proposes a device-to-infrastructure (D2I) and device-to-device (D2D) collaboration framework in air base station (ABS)-assisted post-disaster emergency networks, based on which the resource management problem is investigated. Specifically, by optimizing the power control and spectrum allocation, we formulate a multi-objective optimization problem to characterize the tradeoff among two critical performance metrics: a) total power consumption minimization (primary); b) sum rate maximization (secondary). Due to the intractability of this non-convex problem, we first adopt the primal decomposition method to decompose the formulated problem. Next, we theoretically derive the explicit expression of optimal power control policies. Then, we transform the spectrum allocation problem as a bipartite graph maximum matching problem, which can be tackled by the Hungarian algorithm. Finally, the simulation results show that the designed resource management algorithm achieves a desirable balance among two performance metrics.