From the picture alone, these multiple little pearly-white bumps just under the surface of your skin appear to be milia. They are cysts containing keratin (a type of skin protein), and most commonly arise on the face. Unlike pimples, blackheads or whiteheads, they cannot be "squeezed".
Milia may be removed using an ablative laser. The procedure is relatively quick and simple, and topical anaesthetic cream will be applied. Topical retinoid creams such as Differin may also help due to their keratolytic effect.
For your sensitive skin, I would recommend a long pulse laser such as the Quadrostar ProYellow laser. Its wavelength of 577nm has a very high rate of absorption in red blood cells; this results in a reduction of redness and dilated or broken blood vessels on the face.
I would suggest you seek out a trusted doctor for a formal consultation. In the meantime, do avoid using heavy oil-based eye creams and cosmetic products as these have the potential to block your pores and trap dead skin cells, which may worsen or cause new milia to develop.
