The NYPD is investigating why officers gave only a summons to a four-time ex-con after he crashed a car into a lower Manhattan construction site, after which he is accused of going on a wild Queens carjacking spree that sparked the friendly-fire shooting of a detective , police sources said.

The NYPD is reviewing whether or not the officers should have arrested the suspect, Kevin Dubuisson , after he crashed the car at Murray and West Sts. last Thursday night.

The vehicle turned out to be stolen, the second one police said he had stolen that night, though at the time that information had not been entered into the NYPD database that officers can access.

But Dubuisson, 28, also did not have any documents to prove the car was his, sources said.

The NYPD refused to answer multiple ques

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