Get the alternator tested. I have a 2013 Fit Sport 5spd and these symptoms happened to me. Pending your budget, try to avoid replacing with a rebuilt alternator. Get either the WAI or Mitsubishi (which is oem) ones as they'll last longer and more reliably.
Reviews of WAI parts For Business
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4.7
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11
Spare Parts
2
Country
USA
Website
waiglobal.com
Spare Parts