Recently, biochip technologies have been received significant attention for molecule detection in the microwave regime. This is mainly due to a strong desire to find new method for the rapid and cost-efficient characterization of biomolecular specimens. In this paper we suggest to use a thin-film ferrite-disk resonator with magnetostatics (MS) oscillation spectra as an effective sensor for the near-field scanning microwave microscopy (NSMM). By a proper excitation of a ferrite-disk resonator one obtains a very rich high Q factor spectrum of MS oscillations. The proposed NSMMs should give extremely high resolution compared to the known NSMMs based on usual microwave resonators. MS modes in a ferrite disk are characterized by the rotating field behavior and special symmetry properties. We show that there are super-chiral microwave electromagnetic fields in the vicinity of a ferrite-disk particle. Based on the shown results, we can propose effective measuring chirality in chemical and biological objects on nanometer length scales.