I ask you by Allah, did Uthman turn his back and run away at Uhud?
You ask me by Allah, I answer you. Yes, he did.
Was Uthman absent at Badr?
You ask me by Allah, I answer you. Yes, he was absent at Badr.
Was he missing at Bay'at al-Ridwan?
You ask me by Allah, I answer you. Yes, he was missing at Bay'at al-Ridwan.
Allahu akbar!
Turned to walk away, believing he had proven his point against Uthman.
Come back here.
As for your first question: yes, Uthman fled at Uhud, but Allah testified in Surah Ali Imran that He has forgiven those who fled, so I testify he is forgiven. As for your second question: he was married to Ruqayyah bint Muhammad ﷺ, who was deathly ill during Badr, and the Prophet ﷺ commanded him to stay behind in Madinah to nurse her, and he still received a share of the ghanima, and is considered a Badri. And as for your third question: Bay'at al-Ridwan only occurred because of Uthman, and the Prophet ﷺ used his own hand to take the oath on his behalf. So go back now with all of this to your people.