-You might have a combination of crowding and deep bite, I needs to be treated with orthodontically either by Braces or with Clear Aligners.
-Sensitivity may be because of inability to clean the area properly causing the gums in the area to become inflamed leading to sensitivity.
-Deep cleaning will be required before Orthodontic treatment to resolve the sensitivity problem along with regular maintenance of clean oral hygiene. If this is not addressed then it might lead to loss of bone and your teeth might become mobile.
Next Steps
Need to visit an Orthodontist with the X-rays required to assess the extent of correction you will need so an estimate can be given
Health Tips
Floss and brush twice a day after 30 to 40 min gap post meals, use mouthwash with caution, don't overdo it