According to exemplary inventive practice, a personal armor system includes a textile-based layer not exceeding ½-half-inch thickness, and an elastomeric coating not exceeding ⅛-inch thickness. The textile-based layer includes a fiber reinforcement and a resin binder. The combined areal density of the textile-based layer and the elastomeric coating does not exceed 2.5 psf. According to a first mode of inventive practice, the elastomeric coating is essentially a strain-rate-sensitivity-hardening elastomer, and the areal density of the textile-based layer does not exceed 2.3 psf. According to a second mode of inventive practice, the elastomeric coating is essentially a microparticle-filled strain-rate-sensitivity-hardening elastomeric matrix material, and the areal density of the textile-based layer does not exceed 1.7 psf. The microparticles (e.g., spherical glass microparticles) do not exceed, by weight, 30 percent of the strain-rate-sensitivity-hardening elastomeric matrix material. The textile-based layer affords ballistic protection; the elastomeric coating affords protection against sharp/pointed objects.