These four achievements require you to "full clear" each year of the game. Full clear requires not only for you to collect all of the acorns, but to also collect all the fruit, and beat the par time for each level of the year. You can check what you are missing from the level select screens. Each level needs to have the picture of an acorn, a fruit, and a star (represents par time beaten) next to it.
I recommend that you collect all of the acorns and become familiar with the level on your first attempt of a level. After collecting all acorns, collect all of the fruit and then exit through the door. You should have plenty of time. In your subsequent attempts of the level, you will only need to worry about collecting all of the acorns as fast as possible to beat the par time. With this strategy, you should have to play each level only 5 times or less. There will be some exceptions on levels where high-precision jumping and grappling is required.