Reports that Britney Spears' agent-boyfriend Jason Trawick left the country after rejecting her wedding proposal are "100 percent absolutely false," a source close to the couple tells PEOPLE. "There was no proposal and they were never engaged." When Trawick headed back to L.A. instead of spending the holidays with Spears, buzz surrounding the couple's relationship went into high gear. But there is nothing to worry about. "Jason spent more time in Australia than originally planned," says the source. "They are very happy."