Why did I start to grow more moles when I contracted the HPV virus, should I be concerned?

See your derm. Any new skin lesions should be brought to the attention of your friendly dermatologist. I am not aware of any link between moles and hpv.
Moles not from HPV. Hpv family of viruses, as far as we know, aren't a cause of moles. Hpv 11 is the cause of genital warts. A dermatologist should periodically examine moles and your primary doctor would help treat genital warts.