Sorry, I think Steve QJ nailed this one and you and Rhiannin both messed up.
You've already been corrected on the weapons possession charge.
Regarding recklessness, the video evidence and testimony showed that Rittenhouse maintained careful discipline with the use of his gun, shooting only in response to direct threats in his own life, not indiscriminately spraying bullets where they might hit bystanders, etc.. The charge of recklessness didn't stick because when you're allowed to have a weapon, merely having it doesn't count as "reckless", and the use of the weapon also wasn't reckless.
Regarding compliance with an emergency order...well...without knowing the details of the order, I can't say, but I do note a complete lack of interest in charging any of the thousands of other people who broke the same law. So there's a pretty solid selective prosecution defense there.
And finally, while I think Rittenhouse being white likely did greatly improve his chances of not being shot by police, this is the worst use of the word "privilege"...it is your privilege not to be killed by people who are sworn to protect you? How is that a privilege?! Technically, fine, yes, but using language like that just excuses the atrocities that police commit. And regarding whether the self-defense charge would have worked if Rittenhouse hadn't been white, you can at least find examples suggesting it would have.
People who aren't white have even successfully made a self-defense charge against shooting at the police (https://www.wpbf.com/article/andrew-coffee-not-guilty-on-all-counts/38304640). Or in cases of road rage (https://baltimore.cbslocal.com/2014/07/30/deliberations-continue-in-road-rage-murder-trial/) (though the shooter being a police officer perhaps helped).
The historical stats on this are not good, admittedly, but things seem to be changing for the better, in part because we're a lot more aware of the potential for racial bias.