I have noticed people that have never had nosebleeds before, but after contracting Herpes I, they began to have spontaneous nose bleeds. Can the virus cause sores in the nasal cavity that can lead to bleeding?

No, this is not a common cause of nose bleeds. Herpes sores can bleed, but they are usually very tender and self-limited, so the cause of the bleeding is obvious. Once the herpes sores heal, there are no residual "sores" inside the nose that bleed--instead the cause may be from other factors such as mucus membrane drying, bacterial infection, or irritants (like smoke).