Aha! I had this, too.
Are they soft, easy-to-pop spots and blackheads or the really hard, never-come-to-a head type that are painful to boot?
If they're the soft ones try The Ordinary's Salicylic Acid. If they're the hard ones a dab of Alpha H's Liquid Gold will soften them up and allow them to heal (or allow you to pop them, depending on how inclined to popping you are). I was amazed at how quickly the LG worked. I dab every day as soon as I feel the lump coming. If I've caught it quick enough it never comes up. But I'm a popper so to have the relief of one of these popping instead of painfully hanging around has been amazing.
You can use Alpha H all over - it's great for our age as it's a really gentle exfoliator that unglues the sticky bonds holding the top layer on the skin. You'll get a glow back with this stuff.
If you buy from Deciem.com direct (the salicylic acid), you will have the option to return if you don't get on with it. If you want to try Liquid Gold with the option of a return QVC will be your best bet.
Give either of these a few weeks to work, though (QVC's returns are 30 days).
You'll also need to use a spf while using these (you should anyway but any exfoliated skin is more prone to sun damage).
If you'd rather go the GP route I found Dalacin Lotion works.