At the party, Rios tells Raffi that there is no sign of Q. Q is an omnipotent being that can take on any form, as Picard would no doubt have informed his crew. He could be anyone or anything in that room, or be observing and influencing it from a great distance. However, if he is concealing himself from sensors or has changed his appearance, it is perfectly correct for her to say that there is no sign of him.
When Agnes/Borg queen lets off the EMP at the gala, there are people moving on the dance floor, but the band is already silent before the lights go out.
Kore is able to sneak into her father's computer lab and access information about his work and her true origins. As Kore will die outside of a sterile environment, that means that either she should have incurred a fatal illness through her actions, or that the computer lab is connected to her sterile room. If the computer lab is connected to her room, it makes no sense that Adam Soong would leave un-encrypted, sensitive data in a place that she could easily access.
While working on Picard in her clinic, Dr. Ramirez's defibrillator is destroyed or at least heavily damaged. It is not brought up again, not even in the list of inconveniences she relays that Rios and his friends have brought upon her. It is a very expensive piece of equipment for a private clinic to lose and not have the owner be upset at all.
Tallinn says that Picard is the only one with knowledge of Q. Seven of Nine previously had contact with Q as a member of Voyager's crew. As a Starfleet captain, Rios would have been briefed on Q, as established in Death Wish (1996). No one corrects Tallinn's assertion.
Dr. Ramirez says in conversation with Rios that she came to her clinic in the middle of the night and put her hands in his boss's chest. She did not perform any surgical procedures on Picard at all, merely used a defibrillator on him. Her hands were never in Picard's chest.
Adam Soong enters his daughter's sterile room before the decontamination procedure is complete.