  We construct a pointwise Boutet de Monvel-Sj\"ostrand parametrix for the
Szeg\H{o} kernel of a weakly pseudoconvex three dimensional CR manifold of
finite type assuming the range of its tangential CR operator to be closed;
thereby extending the earlier analysis of Christ. This particularly extends
Fefferman's boundary asymptotics of the Bergman kernel to weakly pseudoconvex
domains in $\mathbb{C}^{2}$, in agreement with D'Angelo's example. Finally our
results generalize a three dimensional CR embedding theorem of Lempert.
