When Tom Paris sends the Doctor a secret video message he states that he needs the Doctor to block the discharge from the backup phaser power couplings. To do this the Doctor would need to go to Engineering. However there are no holo emitters in Engineering and this is before the Doctor gets his mobile emitter. The Doctor would not be able to accomplish this task.
When the Kazon have taken over the Voyager, the Doctor asks the computer for the ship's complement. It lists eighty-nine Kazon and one Betazoid on board, but neglects to mention Seska (a Cardassian), and her infant son.
By taking off the com badges of the entire crew, the universal translator is dismantled. Still, everyone speaks English as if it's their native language, and while this might make sense for non-human Starfleet officers, it doesn't make sense for Neelix or Kes, who had never heard the language before joining the crew.
Despite Seska being in reasonably perfect health, she dies shortly after the phasers overload along with potentially several Kazon (at least injuring all). She can barely stumble into the Captain's Ready Room before she passes. Yet her newborn son, no more than two-weeks-old at this point, fares fine through the ordeal and is completely unharmed, screaming at the top of his lungs and fidgeting as any child his age would. He would, at the very least given (his half-Kazon DNA) be unconscious.