I didn't know what song it was in the dream until I found it on the CD. There's little chance I ever heard it before either

That really is odd! Maybe a remnant from a past life indeed. It's interesting also that the dream ends (as these pursuit dreams often tend to) before a clear resolution either way. Maybe it's not necessary for that kind of dream to end on either definitive answer in the dream world? I don't know.

Ah, so you're old in the dream as well! Hm that might be a significant detail - maybe there's also powerlessness? You passing by those seedy characters/places, but being old and keeping your head down (after your own pleasures and interests), maybe you're powerless to change the seediness of your surroundings? That's a cool dream!

I do :D Mostly bad ones for me, though. Pursuit, also, features heavily in my dreams. That and keeping monsters at bay. Typical childish dreams maybe :)