The second incident was reported at 6.07am at a commercial building in Newmarket, where a showroom was on fire. Seven appliances attended.
Fire investigators attended both incidents and Fire and Emergency is no longer at the incidents.
Newmarket Business Association chief executive Mark Knoff-Thomas said the fire damage to the babywear business, Dimples, appeared to be minimal and well contained.
He said the store was temporarily closed, adding that Dimples is a popular store with customers from all over New Zealand.
“We wish the Newmarket team a speedy recovery and hope they are open as soon as possible for the busy shopping season ahead,” Knoff-Thomas said.
The man will appear in court on two charges of arson.
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