Clearly explaining that there are samples inside the -freezer-, Dr. Jaax proceeds to take out several culture samples and they are clearly liquid, indicating it is really a cooler or an oversight by the series producer.
The trunk of Jaax' car is obviously too deep for blood to be spilling out on to the highway, unless the monkey carcasses are floating in a pool of blood.
Before the Global War on Terrorism began, the US flag was worn on the right shoulder of Army uniforms only by personnel deployed to a combat zone.
"The Hot Zone" is designed with no sharp edges. Jaax somehow manages to cut her hand, exactly at the place she had an earlier injury. Too much coincidence.
Jaax opens and examines an unknown sample without proper personal protection equipment. No professional working with pathogens would do this.