Molecular dynamics simulations based on a particle model are performed to investigate the static configurations and driven collective dynamics of skyrmions confined in a Corbino disk. In this model, skyrmions are treated as interacting particles subject to the damping force, the Magnus force, the repulsive skyrmion-skyrmion interaction, the boundary confinement, and an external drive. The Corbino geometry produces a nonuniform driving force associated with a radial current, so that skyrmions at different radial positions experience different effective driving strengths. This provides a simple platform for studying shell locking, shear motion, and structural rearrangements in confined skyrmion assemblies. In the absence of an external drive, the competition between the boundary confinement and the repulsive skyrmionskyrmion interaction leads to stable concentric shell structures. These shell configurations are similar to the vortex shell structures in mesoscopic superconducting disks, because the Magnus force vanishes in the static state and the equilibrium arrangement is mainly determined by the confinement and interparticle repulsion. When a weak drive is applied, skyrmions in different shells rotate with nearly the same angular velocity, indicating that the whole assembly is locked into a rigidly rotating state. As the drive is increased beyond a small critical value, the shell locking is broken. Different shells then rotate with different angular velocities, and the system enters a shear-rotation state. Under stronger driving, the large Magnus force induces an outward radial drift in addition to the azimuthal motion. As a result, skyrmions initially located in the inner shells migrate outward one by one. This process changes the shell occupations discretely and eventually drives the system from a multi-shell configuration into a single-shell ring. For systems with larger particle numbers, the evolution is more complex. Before the final single-shell state is reached, the compression of skyrmions near the outer boundary increases the local density and enhances the effective elastic coupling between neighboring skyrmions. Consequently, the system can recover a nearly rigid rotation after entering the shear-rotation regime, giving rise to a re-entrant rigidly rotating state. This re-entrant rigid rotation is accompanied by discrete structural rearrangements, reflecting the strong coupling between shell reconstruction and collective motion. These results demonstrate that the interplay among the strong Magnus force, the nonuniform Corbino drive, the boundary confinement, and the interparticle interaction produces a sequence of nonequilibrium dynamical regimes, including rigid rotation, shear rotation, shell reconstruction, single-shell formation, and re-entrant rigid rotation. The dynamics are qualitatively different from those in weak-Magnus-force systems such as superconducting vortices. The present work provides a simple physical picture for understanding the collective motion of skyrmions in confined geometries and may be useful for the design of Corbino-based skyrmionic devices.