The first team have completed their league fixtures and have to wait on York’s results against champions-elect Featherstone a week on Saturday, then against bottom club Hornsea the following Saturday.
York, with two games in hand, need to pick up a win from their last two games to make sure of their top league place next season.
New Earswick were disappointed after they lost 108-60 to fast-improving Selby.
Selby, who lost their first game of the season 18-0 on points, now lie in third position and could guarantee a place in the end of season Challenge Cup with success from their last game against Scarborough.
In division three, New Earswick need to beat Doncaster in their last match to keep their hopes of the Challenge Cup alive after they lost to bottom-placed Harrogate 87-67.
The home side led by Dave Elcock pulled away from 10-10 after nine ends to lead 20-15 with four to play, but they lost them all and their game 21-20.
Gary Jones’ team were also well ahead. Leading 15-8 with seven ends to play, they went into the last 23-15 down before scoring a consolation two.
Brian Birch’s away team suffered a similar fate to the home rinks as his side led 16-9 with eight ends to play but lost 21-17.
Gordon Storey’s team were 12-3 behind but pulled it back to 15-12 with two ends to play before dropping a seven to put the game, which finished 22-13, beyond reach.
York finally picked up the win they have been promising all season as they beat Doncaster 122-49 winning all four rinks to move into fourth place.
At home, John Birch’s side were in commanding form. They only dropped two ends up to the 17th to lead 33-3. They lost the last four to triumph 33-9.
Chris Bishop’s team capped a fine performance with a seven on their last end to win 29-12.
Away, Geoff Walker’s team went from 3-3 to 16-3 ahead in seven ends on their way to an excellent 28-10 victory.
Eric Hodgson’s team got off to a good start, taking a 15-2 lead after six ends. They won ten ends throughout the game to Doncaster’s 11, but made their shots count to win 32-18.
York need to beat Selby in their last game to guarantee a Challenge Cup spot.