When Anna drives up to the rendezvous point to pick up Chris, her car (a 2010 Hyundai Azera) has a blank grille (no branding). A moment later, as they pull away, the Hyundai logo is present on the grille.
Before the house raid, S.W.A.T. Team Delta is called in to assist. However, the team is never seen during or after the house raid.
During the pursuit at the end, the Chevy emblem on McGarrett's truck. Disappears and reappears, within seconds. Chevrolet is a big sponsor of Hawaii 5-0. Doesn't make sense to block it out.
After a surgeon has scrubbed up and been gloved they cannot touch anything else with they're gloved hands except surgery equipment, or the gloves become contaminated. Usually after they have scrubbed and been gowned, an Operating Room(OR) nurse will tie the gown behind the surgeon's back, so as not to risk a piece of the gown contaminating the patient. The doctor in this case reached down and tied her gown, in front of herself, after scrubbing and being gloved. If this happened in real life the surgeon would have had to leave the OR and start the process all over again to avoid risking contamination to the patient.