Yes, black holes absolutely have mass. That’s really all they have.

And yes, black holes and stars can attract each other by gravity. Our galaxy has a fuckoff massive black hole at the center, and all the stars in the galaxy including our sun orbit that black hole.

There are also cases of black holes attracting each other and merging. One of these is the reason we know gravitational waves are possible.

This isn’t really a mystery. Yes they all have mass. Yes they all pull on each other, as do all things with mass (which is basically all things, btw).

A black hole is a dead collapsed star with all its mass, that’s why it has such a massive gravitational pull.