The major motion of Psoas major is flexion of hip. This patient is held in "rigid extension", hence he does not want to flex. Psoas is the only muscle on this list that connects the lumbars to lower extremity "holds his right lower extremity"
Of all the options, psoas major is the only one that is really associated with the lumbar vertebrae.
Q. Lumborum involves the transverse process of L1 but Psoas Major originates from L1-L5