In the present work, we have carried out an investigation on the S-wave resonances of e(+)-H in plasma environments based on the Debye model for weakly coupled plasmas. We employ the complex-coordinate-rotation method with highly correlated Hylleraas-type wave functions. For resonant states below the respective H(n=2s) and Ps(n=2s) thresholds, good agreement has been found with an earlier calculation using the stabilization method. Results for the other five S-wave autoionization states up to and below the H(n=4s) threshold of the e(+)-H system immersed in a Debye plasma are reported here.