Term elimination:
Nebenkern and Acrosome are both real spermatid/sperm structures, the Nebenkern is a mitochondrial mass and the Acrosome is the head cap formed from the Golgi complex for fertilisation, but neither matches the specific description of an outer limiting membrane enclosing a central mitochondrial pool used in the key for this question.
Filament generally refers to the tail's structural fibre, not a membrane-bound pool.
By this process of elimination, the structure matching "outer limiting membrane with a central mitochondrial pool" as per the key is the Lattice.