Thanks for your query.
From your description, it seems very unlikely that you have developed basal cell carcinoma
These are extremely slow growing lesions and take years together to appear.
it is very unlikely for these lesions to suddenly appear and show u.s
On the other hand, it is possible that you have developed the blister
due to an acute sun burn.
You can however see a dermatologist
for confirmation of the diagnosis
Hope it helps
Dr Geetika Paul