The Alex Trebek Premiere episode was on September 10 1984 see related link
The final category was Holidays
The clue was The third Monday of January starting in 1986
The answer was What was Martin Luther King Day
Jeopardy ended the network series of shows with Art Fleming in 1979. The was no Jeopardy Episode on July 1 1981 because the Alex Trebek Jeopardy syndicated program did not start until September 10 1984 see related link
Jeopardy - 1984 1-1 was released on: USA: 10 September 1984
Jeopardy - 1984 1-2 was released on: USA: 11 September 1984
Jeopardy - 1984 1-3 was released on: USA: 12 September 1984
Jeopardy - 1984 1-6 was released on: USA: 17 September 1984
Jeopardy - 1984 1-7 was released on: USA: 18 September 1984
Jeopardy - 1984 1-8 was released on: USA: 19 September 1984
Jeopardy - 1984 1-9 was released on: USA: 20 September 1984
Jeopardy - 1984 1-10 was released on: USA: 21 September 1984
Jeopardy - 1984 1-11 was released on: USA: 24 September 1984
Jeopardy - 1984 1-12 was released on: USA: 25 September 1984
Jeopardy - 1984 1-13 was released on: USA: 26 September 1984