How close to the destruction of the temple were Peter's letters written?
Peter's letters were written just shortly before the temple was destroyed by the Romans in 70 A.D., near the end of Peter's life and shortly before his martyrdom. The chronology places them after Paul's later epistles, in the final period before that destruction.
Les explains that II Peter was written just shortly before Peter was martyred. He lays out a chronology: Christ was crucified about 29 A.D.; Stephen was martyred about 36; Saul was converted about 37; Peter went to Cornelius in 38 A.D.; Paul wrote Romans about A.D. 60; other epistles about 64–65; and Timothy and Titus about 67, just before Paul's martyrdom. Peter likewise writes his little epistles toward the end of their life, and that will all be just shortly before the temple is destroyed by the Romans in 70 A.D. So, as Les says, we're coming right up close to that now. Peter writes just shortly before he is martyred, and Paul as well, and he writes to Jews, primarily to the nation of Israel, just like James.