Thanks for answering what you could! I appreciate it.
Welcome to the forum. I'll try to help. But unfortunately, I can't adequately address some of your questions. Most STD specialists and clinics have little direct experience with LEEP, cone biopsy, or other cervical surgical procedures for HPV and pre-cancerous cervical disease. These are really issues for a gynecologist.
1) HPV is not systemic, only local. The surgery probably will remove all the infected tissues, but not necessarily. There could be involvement in nearby tissus that appear normal and are not removed by surgery. However, any such residual infection can be expected to clear up on its own. Still, your doctor will recommend follow-up pap smears to be certain.
2,3) I cannot comment on the chance of either cervical incompetence or constriction of the opening. My understanding is that the risk is low for any single patient.
4) I'm not sure how to interpret the "low to moderate" comments. Conceivably you had more than one HPV strain, one "low risk" type (i.e. a wart-causing but not cancer-causing) and also one that is "moderate risk" for pre-cancerous disease. Or perhaps he meant the cellular changes themselves, e.g. from a less to somewhat more advanced stage. You'll have to clarify it with your doctor.
The most important thing is to follow your doctor's advice. With proper care, there is no significant chance you will ever have serious disease, i.e. actual cervical cancer. The large majority of women in your situation have no future problems after cervical surgery and have healthy and successful pregnancies and delivery.
Best wishes-- HHH, MD