The bumps on your face are little benign keratotic growths of the skin. These become more numerous with age and sun exposure, and can be very easily removed with an ablative laser. A single session removes them completely, but other growths can still form over the course of your life.
In terms of your skin's sensitivity, a thorough history will be required to determine the nature of your skin's irritation. If the irritation or redness is of recent onset, removal of the likely cause is the solution. Certain lasers, such as the long pulse lasers, can help to reduce redness if due to prominent vessels but can require repeated sessions for good effect.
Feel free to arrange a consult for a closer discussion and examination of your issues at hand.
