Virginia and New York State are both part of the Drivers License Compact which allows member states to exchange information regarding moving violations. If you are convicted of the speeding ticket in Virginia, it will be reported to the NYS DMV.
The NYS DMV though has decided not to record out of state violations committed by New York licensed drivers except for in certain alcohol or drug related violations or moving violations that took place in Quebec or Ontario, Canada.
Except for violation convictions coming from Quebec or Ontario, points are not added to a NY driver's record for out of state citations. Which in your case is a good thing since 33 mph over the speed limit is typically an 8 point offense in New York.
Since the Virginia speeding ticket will not be placed on your NYS record it is unlikely, but not impossible, that your insurance rates will not be increased due to it.
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