What are photoelectrons?

Do all the electrons that absorb a photon come out as photoelectrons?

What determines the maximum velocity of the photoelectrons?

What is the effect of decrease in wavelength of incident light on the velocity of photoelectrons?

Every mrtal has a definite work function. Why do all photoelectrons not come out with same energy, if incident radiation is monochromatic? Why is there an energy distribution of photoelectrons?