Cannot move imported LTspice components in Eagle schematic
I don't see a little + sign in the middle of the resistor, for example.  That means that the resistor wasn't added to the schematic properly as a device.  It was apparently just drawn in the symbols layer.

If so, this is bad, as Eagle doesn't understand the connections between parts, and even that there are parts in the first place.  All you have is a bunch of graphics in the schematic that happen to look like parts.

Basically, the script or whatever you are using to import this data is flawed.

Revised answer

On closer inspection, I do see the little plus signs for the components.  They are quite a bit off from the centers of the parts, so I thought they were missing before.  For example, the + origin marker for the resistor is above and to its left, halfway to the end of the arrow.  The one for the diode is below and right of the part.

This means you probably do have a valid schematic that Eagle understands as such, but a rather annoying one.  To move a part, run MOVE, then left-drag with the mouse on one of the little plus symbols.