NO. Trudeau loved being PM too much. Even in 1984, with everything that had happened by that point and facing near-certain defeat and with many in his own party wanting him gone, he still was rather hesitant.
I'm not sure about that. I think Trudeau stayed on after the patriation of the Constitution in 1982 to poison the well for his presumed successor, John Turner. This most obvious example of this was making Turner agree to Trudeau's patronage appointments.
Turner became Trudeau's presumed successor only sometime after Trudeau's first term when he was appointed Finance Minister at the start of the second term.