Have you asked your doctor? Unfortunately, viruses can just take their sweet time to resolve. The average time til you should be clearing up totally is 4 weeks, so you're not quite there yet, but that's just an average. Shingles does a number on your skin, so it's not surprising that hair would fall out where blisters are or were. If the hair loss is NOT where you've had blisters, I would consider checking the side effects of the medication you are taking, as it could be the culprit.
https://www.health.harvard.edu/a_to_z/shingles-herpes-zoster-a-to-z
Yes I did . I’m taking medications for it. I didn’t have all over my body . Had on my neck & my ear & head . My neck went away . Head did too the shingles . Expect my ear still little swollen it’s gettjng better . But the itching takes like 3 months or so I hate that. But I’m losing hair. I think it cause me losing hair was the hospital gave me steroid for treatment for shingle