"Don't the police officer need more reason to pull me over other than coming close to his car?"
No. What you described seems to me the presence of a probable cause to stop you on the roadway.
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Hire a good DWI attorney in your area. If the stop is contestable, the attorney will be able to challenge it. The officer's sworn report will probably state that you were swerving or that your driving was unsafe. Do not delay in hiring an attorney. You have 15 days to request an ALR hearing in an attempt to protect your driver's license.
The information provided is not advice but a legal perspective and you should schedule a consultation with the lawyer of your choice.
You need an attorney immediately. An ALR hearing needs to be set to gather evidence like video of the stop, etc., get a determination on probable cause to stop, and to help you keep your license. Your attorney may file a motion to address any evidence that may have resulted from a illegal stop.