No, we don’t normally see cut like sores on thick skin. They are mostly blisters. Cut like sores are mostly seen on very thin genital skin.
You can shed with lesions on thick skin but not without lesions on thick skin. The skin is too thick for virus to come to the surface of the skin and get off the nerve ending.
If you have no lesions, virus can be shed from anywhere in the genital or anal area.
If you have a herpes sores behind your ear, you could be shedding from your mouth, yes. Asymptomatic shedding can occur both from the oral and genital areas if both are infected.