This planet does indeed hold the 2 crystals. The planet itself is a puzzle too though.
You need to practice the walljump in order to get past it easily. This means, jump against a wall and hit jump again to jump off it to another wall and jump again to jump off it too. Doing this correctly will make you jump up there much faster than running jumping, wallclimbing, grabbing then getting up. This'll save you time to get to the next energiser spot with savepoint. The red plants indeed do drain your life, so run through it and jump and hope for the best.