The Liut (Rage) United Assault Brigade of the National Police of Ukraine has confirmed the liberation of the village of Klishchiivka in Donetsk Oblast.
The left and right are different parts of the historical coat of arms. The black one is a parody of the nazi, eagle and swastika? I'm not sure.
The trident, is the seal-trident of Volodymyr the Great, the first Grand Prince of Kyiv. As time went on, his children had their own signs that grew more complex but eventually became simpler, and altogether forgotten.
Eventually people began to associate themselves with the old rulers sign, including the military and state, as form of national pride.
Another fact: the modern yellow and blue flag is not the sky and a grain field. Infact, for years they flew the yellow above the blue. It's a color pattern coming all the way back from Kievan Rus’.
Edit: it's also worth pointing out: The red and black motif (on the parody flag) isn't asccociated with fascism; it is their representation of fighting facism. The colors were used by the Ukrainian Insurgent Army, before being switched back to blue and yellow.
The black and red flag reads "Na Vistri Sqyca" which according to google translates to "The point of a/the spear". In combination with the information provided by the videos you linked I would guess that this is the flag of a nationalist division or battalion of the ukrainian military.
That's a different group. They did commit similar actions. Sadly, small countries that share borders with large contries get swept up into war. Also, I can't think of a single civilization that hasn't committed horrible war crimes (sadly). All we can do, is do our best to hold our borders and keep peace, RIGHT NOW.