We present a multi-node, multi-objective open-loop microwave distributed beamforming system based on high-accuracy wireless synchronization and localization. Distributed beamforming requires accurate coordination of the spatial and electrical states of the individual elements within the array to achieve and maintain coherent beamforming at intended destinations. Of the basic coordination aspects, time synchronization and localization of the elements are among the most critical to support beamforming of modulated waveforms to destinations in both the near-field and far-field of the array. In this work, we demonstrate multi-objective distributed beamforming from a three-node distributed phased array consisting of software-defined radios that leverages high-accuracy wireless time coordination for both time synchronization and two-dimensional localization of the elements. We use a spectrally-sparse two-tone waveform for high-accuracy inter-node range estimation combined with a linear-frequency modulated waveform to mitigate multipath interference. Localization is performed in a centralized format, where one node is designated as the origin and the remaining nodes build the array geometry relative to the origin, from which we obtain localization accuracy of less than 1 cm. We implement a near-field multi-objective beamformer based on the location estimates, which enables the simultaneous steering of a beam and a null to two receiving antennas. Multi-objective beamforming of pulsed waveforms at a carrier frequency of 2.1 GHz is demonstrated in cases where one of the nodes in the distributed antenna array is moved, and where the targets (the two receiving antennas) are moved.