Beauvillier scored his second of the game to make it 4-2 at 11:28.
"I just think we've got a lot of new guys here," Canucks coach Rick Tocchet said. "I thought in the first period we held our own. Obviously, that's a great hockey team over there, and they start pushing. Puck management wasn't good. Obviously, the four power plays we gave them in the second really hurt us, but we didn't bend, and obviously Demko was great."
NOTES: Vitali Kravtsov had one shot on goal in 8:53 of ice time in his debut with Vancouver after being acquired in a trade with the New York Rangers on Saturday. ... Dadonov (33 years, 352 days) became the oldest player to score in his Stars debut since Jaromir Jagr (40 years, 339 days) on Jan. 19, 2013.