It is likely that you have a fungal infection.
Fungal infections cause the skin as well as the tissues underneath to get dry and somewhat stiff. Friction during sex will cause small cuts to appear on the skin.
Please apply Lotrimin ointment (available OTC) 3 tmes a day for at least 1 week. Do not have sex during this time to allow the skin to heal.
If you see that the skin is not healing properly, please consult a docor as you will need prescription strenth anti-fungal ointments like Mycolog Cream II.
I hope this helps.
Yes, the fungal infection will prevent the rip on the connector from healing. This is because fungus tends to hamper the blood supply of the infected area.
Avoiding sex and applying Lotrimin will help the cuts heal quickly.