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Most of these warts end up being benign, but if they bother the dog, they are a problem! I definitely recommend having them removed.
I don't worry about anesthesia in a 10 year old dog. Just make sure that you discuss several points with your vet:
As long as the vet is using appropriate precautions, there is no reason to be overly concerned for little Cookie. I understand that you are worried, but she should be just as safe as any young dog going in for routine surgery.
I recommend having both of these things evaluated by your vet. I recommend a chlorhexidine shampoo for her skin rash, and a topical ointment for her ear infection.
You can clean her ears with a dilute vinegar solution, but this will not eliminate the ear infection altogether.
An office visit for these problems would also be a great opportunity to ask your vet about the things I listed above in regard to anesthesia to remove the warts.