I guess maybe skin cancers might be increasing, it sounds like some of them are but I don't know anything about it, but besides questions of actual incidence and prevalence, information plays a big role in this.
Twenty, forty, sixty years ago, if you got skin cancer (or anything else) there was no way to instantly share this information with everyone you knew at school, all your old university mates, all your friends, and everyone you've ever known well enough to add them as a Facebook friend.
And culturally, people probably wouldn't have wanted to either — I've known people with skin cancer who only told very close family that they had a bad mole cut off, not sharing it outside intimate circles and often preferring not to call it cancer (or their doctors were euphemistic with them).
So someone who was like you in every way, but living in 1990, may well have had just as many people who were at one point a part of their life and who got skin cancer, but would never have known about it.