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We extend previous work on the minimal D-term inflation model modified byRight-Handed (RH) sneutrino fields to include additional inflaton-sector SUGRAcorrections and two-field inflation effects. We show that SUGRA correctionssimultaneously allow n_{s} to be within 3-year WMAP limits and the cosmicstring contribution to the CMB power spectrum to be less than 5%. For gaugecoupling g < 1, the CMB contribution from cosmic strings is predicted to be atleast 1% while the spectral index is predicted to be less than 0.968 for a CMBstring contribution less than 5%. Treating the inflaton-RH sneutrino system asa two-field inflation model, we show that the time-dependence of the RHsneutrino field strongly modifies the single-field results for values of RHsneutrino mass m_{\Phi} > 0.1 H. The running spectral index is \alpha = -0.0002when m_{\Phi} < 0.1 H but increases to positive values as m_{\Phi}/H increases,with \alpha > 0.008 for m_{\Phi} > 1.0 H.

Supergravity and Two-Field Inflation Effects in Right-Handed Sneutrino-Modified D-term Inflation