I was on a jury once (in California, so not sure how if it applies to other states, particularly Minnesota in this case). From my experience, jurors are very unlikely to be influence by the media, protesters, family members, victim's family members, etc. And even if a juror is egregious, by design the deliberation process greatly cuts out this behavior. The process works like a Choose Your Own Adventure book. It's been years, but it was something like this...
For the first charge...
First page, fact 1: all agree or all disagree
Second page, fact 2: all agree or all disagree
Third page, fact 3: all agree or all disagree
...
Ninth page, fact 9: all agree or all disagree
Tenth page, did you all agree on all nine facts? Yes, then page 11. No, then page 12.
11th page, if you all agree on all the facts, "you must convict."
12th page, if you all cannot agree, how many jurors couldn't agree? If it's 1-2 juror, go back and discuss. If it's more than 2, "you must acquit."
13th page, if one or two jurors are still holding out, you have a hung jury.
For the second charge...
First page, fact 1: all agree or all disagree
Second page, fact 2: all agree or all disagree
Third page, fact 3: all agree or all disagree
...
Ninth page, fact 9: all agree or all disagree
Tenth page, did you all agree on all nine facts? Yes, then page 11. No, then page 12.
11th page, if you all agree on all the facts, "you must convict."
12th page, if you all cannot agree, how many jurors couldn't agree? If it's 1-2 juror, go back and discuss. If it's more than 2, "you must acquit."
13th page, if one or two jurors are still holding out, you have a hung jury.
For the third charge...
From my experience, the Court system is fair and the jurors are fair. You need good, thorough defense team, because jurors cannot consider what has not been presented at trail.