Do you have access to another computer you could try installing the game on? The drive in the laptop may have a problem with the DVD, or even if there is some damage (heat can cause problems that wouldn't necessarily be visible), another drive may be better able to read it.
Does the install finish, despite the errors? If so, there shouldn't be any problems copying the problem files over from another computer. For the video files the game may not have a problem with them missing (in DKS/D2:DC at least, you can rename the intro video, as well as the folder for the skill preview videos, and the game will just skip playing them).
Do you have a complete list of files which give errors, and is it the same files each time?
I at least have the D2:DC versions of the 2 videos you mentioned, but the 002_TextureSet.dv2 doesn't exist (there were graphics update to the D2:ED section of the game with the DKS release).
Saves from the original release of D2:ED are not compatible with DKS / D2:DC. That said, when D2:DC was first released there was an upgrade offer with D2:ED / FoV / DKS for a download version from the Larian Vault
. This was automatic on Steam (and eventually other digital distributors) and you could contact support about the retail version. See the topic Divinity 2: Developer's Cut and Anthology on Steam
. I assume this doesn't apply for the D2:ED release of a magazine cover DVD some time ago (UK or German game magazine, IIRC).