United trailed 1-0 early on, but led 2-1 at half-time through Toby Cotton’s penalty and Rhys Smaller’s strike.
Chester eventually led 3-2 – but a late own goal rescued a point for the Pilgrims.
Boston: Austin Barker, Finley Hipkin, Oliver Houlston, Jake Thompson (Oliver Callaby 70), Charlie Brooks (Kirils Snikeris 65), Dexter Tomlinson, Ryan Makings (Josh Panton 75), Rueben Fogg, Will Pettitt (Daniel Bridges 80), Toby Cotton, Rhys Smaller. Sub (not used): Lake Taylor-Peak.
Referee: Alistair Wilson.