Rödin's first came in the middle period when he distinctly hung a shot high behind Gustav Lindvall in the Skellefteå goal.
A goal that for a long time seemed to be the only one of the match.
But Skellefteå's press finally paid dividends, Jayce Hawryluk equalized with just over three minutes left, with a powerful shot, the American's first SHL goal.
Brynäs and Rödin would, however, have the last word.
The away team's Jonathan Johnsson went on a cheap second, Brynäs got PP and Rödin was able to hang up another shot from close range.
Tomi Sallinen set the final score at 3-1 in an empty cage with 40 seconds left in the match.