A study of radiative τ pair production, e+e-→τ+τ-γ and e+e-→τ+τ-γγ, is presented. The observed events agree with QED predictions of order α3 and α4. Excited τ′s have been searched for and lower limits on single and pair production are obtained. For QED-like coupling the τ* mass is limited to values greater than 40 GeV (95% CL). A search for unstable charged scalars (S±) decaying into τ, e.g. charged Higgs, technipions or the supersymmetric partners of τ′s, yields no evidence for such particles. Assuming a branching fraction of B(S→τν)=1, S masses up to 18.7 GeV are excluded with 95% CL.
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