Yes the several hours over the course of the 1 hour and 15 minute inauguration....
Yes. Jill switched shoes and Biden’s kids are in different locations.
https://www.youtube.com/watch?app=desktop&v=B6Yg6bwllM4&feature=youtu.be I just screenshot directly from this video posted by Vox. Has 2m views. The time stamps are also in the screenshots, Can check the video for yourself to verify.
https://www.weather.gov/lwx/events_inauguration
That website says it was cloudy and brisk. With wind gusts up to 28 miles an hour at noon. You do not see that on that video.
Or to be fully cloud covered to then full blue skies and then back to cloudy....