A lesson that

Which are correct:

1) That experience taught me the lesson that luck was extremely important in life.
2) That experience taught me the lesson to remember that luck was extremely important in life.
(It was a lesson to remember and the lesson was that luck was extremely important in life.)

3) That experience taught me a lesson that luck was extremely important in life.
4) That experience taught me a lesson to remember that luck was extremely important in life.
(Presumably there are many lessons of that type.)

Gratefully,
Navi.