Redcar Unionists and Guisborough Cons, Steve Rutter winning twice at snooker for the visitors, were the first of the draws.
The league's second-placed team, Sams Snooker, played host to league leaders, Saltburn Cons, in a potential title deciding match.
Fifteen-year-old Liam Clark made breaks of 61 and 32 at snooker for the home team, while Richard Beckham made breaks of 49, 37 and 34 for the away side.
Defending champions Hartlepool Snooker Centre have a lot of work to do if they are to win the league again this season, and their 3-3 draw at home to Redcar Cons B has set them back further.
Despite breaks of 41 and 33, Ryan Clark lost both his snooker frames.
Andrew Shelley scored both points at snooker for the home team, while Mike Hogan was a billiards winner for Staithes.
The game between Lune Street and Redcar Cons A saw Phil Hartley make breaks of 63, 34 and 31 at snooker for the visitors, whilst a 31 from Mick McDermott at billiards wasn't enough, as he lost by just one point to Ron Bickerdike, who made breaks of 55 and 35.