Both went 4-0-1 with a 1.16 goals-against average in their previous five games before efforts that weren't as strong this weekend.
Rask's 27 saves weren't enough Friday as he matched a season high in goals allowed with all four in a 4-2 loss at Ottawa.
"I was pretty bad out there today," Rask said. "Every once in a blue moon as a goalie you get one of those games where there's a soccer net behind you and you don't know what you're doing."
Boston (12-6-1) blew a third-period lead in a loss for the third time but didn't think it was all Rask's fault. The Bruins were outshot 18-10 over the final 20 minutes.
"We have to make it easier for him and that's on us," defenseman Dennis Seidenberg said.
Carolina (8-8-4) was also doomed by a poor final period Saturday, conceding both goals in the third of a 4-2 defeat at St. Louis. Peters stopped 28 of 31 shots for his first regulation loss since Nov. 2.
"He's been playing great for us," coach Kirk Muller said. "We've been on a nice little roll and he's had a great six or seven games put together right now."
There is seemingly more pressure on Peters since the Hurricanes are averaging 1.90 goals for one of the NHL's worst marks. They have scored more than twice just once in their past 11 games. Boston averages 2.74 goals.
Carolina picked up nine points on a five-game homestand comprised of one-goal games before Saturday. The Hurricanes don't seem too concerned and are eager to return to PNC Arena.
"We'll have to rebound and get back to work (Sunday) and be ready for the game on Monday," said center Eric Staal, who has a team-high 11 points and has scored in consecutive games after a nine-game goal drought.
Nathan Gerbe ended his seven-game goal drought Saturday although Alexander Semin extended his to 10 games. Semin was hit with a hard check by Alex Pietrangelo in the first period, later left the contest with what was announced as an upper-body injury and did not return.
The Bruins started 2013-14 winning their first four road games before losing the last three. They held a 22-13 advantage in shots through two periods Friday before the dismal third.
"We didn't stick to our game plan, we stopped playing the way we did in the first that made us successful and that's what happens," Seidenberg said. "They seemed to get stronger the longer the game went on and we didn't respond."
One big advantage for the Bruins should be on the penalty kill. They have killed off opponents' last 27 power plays and are at 86.7 percent for the season. Carolina's power play is in a 1-for-17 slump and at 13.2 percent overall, including 10.6 at home.
It's unclear if Boston defenseman Adam McQuaid will miss a fourth straight game with a lower-body injury.
The Bruins won two of three meetings last season after losing all four the previous season.