No, we don't. As Muslim, we don't celebrate Valentines and also New year celebration. You will not find this celebration ever done in Muslim country such us Saudi Arabia.
But in my country, Indonesia, where held the biggest Muslim of the world for country which didn't speak Arabic, some Muslim, due misunderstanding and unknown about what is Valentines and New Year are, did followed this celebration. Well, Indonesia not Muslim country after all and many of our citizen really enjoy western life style, and that's why this is had happened. But real Muslim do not celebrating Valentine and New Year. ^_^