Rookie Joakim Nordstrom scored his first NHL goal for the Blackhawks and Jonathan Toews also tallied, while Josh Bailey and Kyle Okposo were on target within a minute of each other at the end of the first for the Islanders.
The Blackhawks improved to 2-1-1 after losing their last two while the Islanders lost for the first time in regulation this season.
Tyler Seguin had a hand in every Dallas goal as the Stars beat the Winnipeg Jets 4-1.
Seguin had two goals and two assists, while Alex Chiasson and Jamie Benn also tallied.
Sean Monahan extended his scoring streak to four games with a third-period winner as the Calgary Flames beat the New Jersey Devils 3-2.
Dennis Wideman and Mark Giordano also scored for the Flames, who have taken at least a point from each of their first five games.
Brad Boyes was on target twice in the Florida Panthers' 6-3 win over the Pittsburgh Penguins, Jeff Carter scored the shootout winner as the Los
Angeles Kings edged out the Carolina Hurricanes 2-1 and the Phoenix Coyotes were 2-1 winners over the Philadelphia Flyers.