We examine the influence of relativistic and QED effects oil the existence of the P-1.3(o) H- resonances between n = 2 and 3 hydrogen thresholds, the relativistic and QED corrections and the coupling effects between the high singlet and triplet states are considered as first-order perturbations. We firstly obtain accurate non-relativistic resonant energies and widths of fifteen P-1(o) resonances, and fifteen P-3(o) resonances. The fifteen P-1(o) resonances are classified to be (3)(2, 0)(n)(-) (4 less than or equal to n less than or equal to 12) and (3)(1, 1)(n)(+) (3 less than or equal to n less than or equal to 8). The fifteen P-3(o) resonances are classified to be (3)(2, 0)(n)(+) (3 less than or equal to n less than or equal to 12) and (3)(1, 1)(n)(-) (4 less than or equal to n less than or equal to 8). We found there exist six Feshbach resonances for (3)(2, 0)(n)(-) (P-1(o)) series, four Feshbach resonances for (3)(1, 1)(n)(+) (P-1(o)) series, seven Feshbach resonances for (3)(2, 0)(n)(+)(P-3(o)) series, and three Feshbach resonances for (3)(1, 1)(n)(-)(P-1(o)) series.