Bought a movie on itunes and does not show up in my library

Bought a movie on itunes and does not show up in my library. Is that normal? I was able to watch it on my apple tv and it does show up on in account. It also shows up in a list of movies "not in your library".I recently got a new computer and wanted to transfer my iTunes library from my old computer to my new one. However, other members of my family still use our old computer and I do not want to lose our current iTunes library. When you use home sharing, is the iTunes library just copied or is it actually removed from the old computer and added to the new one?Neither. It merely lets you copy certain files or just play/display them. If you wish to keep the iTunes Library from the old computer, then copy the entire /Home/Music/iTunes/ folder from the old computer and put it in the /Home/Music/ folder on the new computer. Then copy the /Home/Library/Preferences/com.apple.itunes.pllist file from the old computer to the /Home/Library/Preferences/ folder of the new computer. Note that the library folder is invisible, so see the following: Exposing the /Home/Library/ Folder Pick one of the following methods: A. This method will make the folder visible permanently. Open the Terminal application in your Utilities folder and paste the following at the command prompt: chflags nohidden ~/Library Press RETURN. B. Click on the Desktop, press the OPTION (⌥) button, select Library from the Finder's Go menu. C. Select Go To Folder from the Finder's Go menu. Paste the following in the path field: ~/Library Press the Go button.