The jury will be sequestered to avoid media influence. This is common practice in high-profile cases. The judge will set firm boundaries for what the jury can

The jury will be sequestered to avoid media influence. This is common practice in high-profile cases. The judge will set firm boundaries for what the jury can and cannot consider in their deliberations and while the jury is actually free to use any criteria they want, it will be very heavily implied that they cannot. The court will do everything in their power to make the jury believe they must convict based on the evidence presented and the rule of law. Similarly the court will put significant limitations on what can and cannot be presented as evidence. US's commission of war crimes is (arguably) irrelevant as regards the crime in question, so I won't be surprised to see that bringing it up will not be permitted. This is all fairly standard US court stuff.