Time Machine/External Hard Drive Trouble with New SSD

[mstoyo]

I have an external hard drive that I use to hold photos and other files on that no longer fit on my macbook. I also use the external hard drive for back ups set up with time machine. I don't believe I ever did anything to partition it, I've just always had separate folders (Photos, Music, etc) with one being called "Back Ups" (or Backups.backupdb) that my time machine back ups would automatically go into. Recently, I made the switch from my HDD in my macbook to a new SSD of the same size. I used the back ups on the external hard drive to restore all my content, which all worked out fine. My problem now is in using my external hard drive. When I plug it in, it no longer seems to be working with time machine. Also, I was organizing some files within the external hard drive, and when I dragged one into a folder, it took a while to load. Before, it was instantaneous moving a file already on the external hard drive to another location within it. Can anyone help me in getting the external hard drive to work with my new SSD? I don't want to delete any of the folders or back ups that are already on it, since that's the only place I have some of those files. Please let me know if you need anymore details. Thanks! (sorry if this is posted in the wrong forum)