Your dizziness might be related to the harsh antibiotics that you took for H. Pylori infection... As for the wisdom teeth removal you may go for extraction of both to avoid excessive antibiotic usage the only downside is that recovery time may extend also you might need to see your dentist 24 hrs, 72 hrs and 7 days post extraction of both wisdom teeth...
Rest avoiding any complications is upto the knowledge and skill of the dentist you are visiting...
Next Steps
if wisdom tooth is causing trouble then do go for extraction
Health Tips
choose your dentist carefully 😂😂😂 also post op care and revisit should be thorough....