The Harlequins scrum-half was stopped at the Winchester services on the M3 motorway in Hampshire in the early hours of January 1, Southampton Magistrates' Court heard.
The incident led to the 25-year-old being excluded from the Six Nations squad. It came three weeks after he had been fined by police for being drunk and disorderly.
On New Year's Eve, hours before his arrest, Care tweeted: "2012 is hopefully going to be a massive year... Earn respect. Earn the shirt. Set the example."
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