A UV filter just filters UV haze in your images, and any decent modern multi coated lens will have a coating for UV anyway, so the filter wont do anything - except protect the lens of course.
A skylight filter has a slight pink or straw tinge. It's purpose is to eliminate blue casts caused by light reflected off that blue overhead sky canopy on images taken in the shade - not images taken in direct sunlight. It's most noticeable on skintones.
If you think of the sun behind clouds, all the light is bounced up and off that blue ceiling picking up a blue cast in the process, much the same way as flash picks up the colour of the surface it's bounced off.