Micro center is an authorized repair center for many companies, one of them is Apple. So if anybody could replace your battery they could. Call the store for full details.
Yes. They are authorized repair shop.
Call first to confirm the right service guy will be working before you go there. Voice of experience.
Yes they sure do
Yes they do
Yes
How old is the phone, might still be warrantied by Apple
I'm not sure but I know they are an authorized apple repair service. Call the store closest to you.
iPhones have a built in battery, so to answer your question: no
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