It turns out it's molluscum indeed. And I have them all over my back + some on my chest too. They are so many - my dermatologist said that this is indicative of a weakened immune system (stress etc). I'll have them removed by curretage/CO2 laser.
Just letting anyone reading this know.
If these bumps are not itching, stinging, burning, swelling, or anything else irritating they most likely aren't an STI. It can be just irritated skin from the weather, shaving, dry skin, or another sensitivity.
Follow through with a physician or get a full screen testing at a clinic.