We present Keck/DEIMOS spectroscopy of stars in the recently discovered Milky Way satellites Hydra II, Pisces II, and Laevens 1. We measured a velocity dispersion of (ProQuest: Formulae and/or non-USASCII text omitted) for Pisces II, but we did not resolve the velocity dispersions of Hydra II or Laevens 1. We marginally resolved the metallicity dispersions of Hydra II and Pisces II but not Laevens 1. Furthermore, Hydra II and Pisces II obey the luminosity-metallicity relation for Milky Way dwarf galaxies (left angle bracketFe/Hright angle bracket = -2.02 + or - 0.08 and -2.45 + or - 0.07, respectively), whereas Laevens 1 does not (left angle bracketFe/Hright angle bracket = -1.68 + or - 0.05). The kinematic and chemical properties suggest that Hydra II and Pisces II are dwarf galaxies, and Laevens 1 is a globular cluster. We determined that two of the previously observed blue stars near the center of Laevens 1 are not members of the cluster. A third blue star has ambiguous membership. Hydra II has a radial velocity left angle bracketnuhelioright angle bracket = 303.1 + or - 1.4 km s super(-1), similar to the leading arm of the Magellanic stream. The mass-to-light ratio for Pisces II is (ProQuest: Formulae and/or non-USASCII text omitted) It is not among the most dark matter-dominated dwarf galaxies, but it is still worthy of inclusion in the search for gamma-rays from dark matter self-annihilation.