I have the same problem sometimes see a gynecologist
you could have an allergy to the latex elastic or material used in manufacturing, ditch the synthetics & go for natural cotton, also, try a different laundry detergent, one like Borax & add a second rinse to your wash, it could be your detergent causing this condition (many detergents are harsh) Get diagnosed by a dermatologist if you can or if the above doesn't help.
If the abscesses persist, you can see your doctor for that. I don't think you particularly need to see a gynaecologist, unless you are doing so because you would be more comfortable.
You may also want to try and drain the abscesses yourself. First you must get the pus to reach the skin surface. One way to try to accomplish this is to put on an oily lubricating cream like Nivea. Sometimes, this has the effect of softening the overlaying skin and permitting the pus to reach the surface where it can be squeezed out manually. If you are successful in doing this, keep the area very clean (you can use baby wipes for easy repeated cleaning) and follow this with talc powder to keep the area very very dry.
Since you indicate you get recurring groin abscesses, you might also try applying something like polysporin cream regularly to the area, to try and keep new abscesses from forming.
If you do choose to see your doctor, he/she may prescribe other, stronger antibiotics, and he/she will sometimes drain the abscess using a needle so the pus doesn't necessarily have to have reached the surface of the skin.