Can't really see detail in the first one, but the second looks like it might be a bird. I wouldn't rule out insects either. It would be interesting to know the height of the drone and its location at the time the video was taken, might make it easier to roughly scale the size and speeds of the "objects." Judging by the size of the automobiles and the road in the real time video, doesn't look to be too high. The lower the drone, the smaller the distance "seen" by the camera lens, and the faster the object appears relative to the drone. If the drone was moving toward the object creating a higher closing speed, it would also look faster.
My first thought actually. It's a long story, but I got involved with the EPA and the Utah equivalent relative to the safety of peregrine falcons around the Thiokol Wasatch Division (Air Force Plant 78) facility. I worked with the state's ornithologist and learned more about peregrine falcons than I ever expected to. Amazing birds.
I'm remembering my own "UFO" episode a month or two ago. Had I not had a high-powered telescope at my disposal, I would have been convinced that I was watching a UFO cluster. It looked like a lot of other videos online. But the telescope proved that it was just a big sheet of foam building insulation and two seagulls. Amazing that a dust devil (I assume) lofted that sheet of insulation to nearly a mile altitude.
These fast-moving, assumed small UFOs shot with consumer-grade cameras need to be shot with the fastest shutter speed the camera will allow. I'd bet you dollars to donuts that the vast majority of them turn out to be birds.
Shooting with fast shutter speeds has already debunked 99% of the "Skyfish" videos.
Mother Nature is far more clever than we give her credit for. She's been doing this an awfully long time, we've only been around for the blink of an eye, in comparison. We still don't know how to see everything around us, even when it's in plain sight.