The only place I can think of where a picture or video doesn't have the "little circled (i)" is Recently Deleted. Did you specifically put your videos in an album?
How about if you scroll down to Media Types, near the bottom, and open Videos:

In this section you should be able to tap on a video and it should open like this:

with the (i) at the bottom between "Favorite" and "Edit"
If this doesn't work, can you give us a screen shot, so we can figure out where you are. Also, it helps to have details of exactly which buttons you tapped to get there, sort of like what I did to describe taking a picture.
Take a screenshot on your iPhone - Apple Support
The menu below here has an icon

that lets you upload a picture. You can grab the handles on the corners of the picture to re-size it to fit better.