Hello ,
Yes due to wisdom tooth you are feeling pain which is almost to erupt completely , black spot on last tooth is nothing but 'Hard caries' with stain on wisdom tooth .
White spot need to check clinically if its really paining for troubling .
Next Steps
visit to your nearest dentist for wisdom tooth , get x ray done .
if you are getting trouble in opening your mouth
then go for extraction / removal of wisdom tooth followed by Medication .
kindly do Scaling / cleaning for full mouth .
Health Tips
For time being do warm saline rinses thrice daily .