[2] He played both tennis and ice hockey for the University of Toronto Varsity Blues from 1963 through 1967, earning a Bachelor of Physical Education degree.

National amateur championship of 1968, played at the Longwood Cricket Club in early August to Dick Stockton.

Burwash won his only professional tour match in the opening round of the 1969 Cincinnati Outdoor, defeating American Roy Sprengelmeyer.

The following month, Burwash played in the Canadian Open for the first time where after a first round bye, he lost to Brian Fairlie.

In October at the Barcelona Outdoor, Burwash lost in straight sets to Australian Allan Stone in singles.

In his only tournament main draw singles action for the year, at the U.S. Clay Court Championships in July, Burwash lost in the first round, to Terry Addison.

He played one main draw in doubles, at the U.S. Open, again with partner Rudy Hernando, and lost by default to Roy Emerson and Rod Laver.

[3] Burwash participated in the main draw in both singles and doubles at the Columbus Outdoor, losing to Charles Owens.

The following week at the Canadian Open, his last appearance there in a main draw, Burwash lost to Jaime Fillol after a bye in the first round.

Burwash was a United States Professional Tennis Association Master Professional and has coached many tennis players, including Venus Williams and Serena Williams, Greg Rusedski, Andrew Sznajder, and Sébastien Lareau when he won the gold medal in doubles with Daniel Nestor at the 2000 Olympics.

[5] Burwash has commentated for The Sports Network (TSN) and the Canadian Broadcasting Corporation (CBC), for their coverage of the Rogers Cup.