Is there a second play through in Majora's Mask 3DS like there was in Ocarina of Time 3DS?
No, they haven't included any sort of harder mode in Majora's Mask 3D.
Ocarina of Time Master Quest already existed prior to the 3DS remake, so they choose to include it as a bonus. Majora's Mask 3DS includes a slew of changes to the main game, but sadly no "hard mode" of any kind.