It sounds like your blood test (the IgG) was a combination test, and not a type specific. Is there one result that says positive, or two separate results?
The issue with that is that all it says is that you have at least one type, and you already know you do since you have had cold sores. You need a type specific IgG blood test, which will give you a specific result for each type.
"Abnormal" - that's an odd report. If they found the virus in the cell culture, that would mean it's positive, and if you had that done on your genital area, then you have genital herpes. The rapid culture usually types it, if ordered by the doctor - I guess it doesn't say that?
Ask your doctor for a type specific IgG blood test. Get copies of the results, and we can help you figure it out.
I'm sorry it's been so confusing. It doesn't have to be.
Oh if you can't get your doctor to do it, there are places you can get it done yourself, if you can afford to self-pay. Try https://www.stdcheck.com/.