When you create a partition image and there were bad sectors, it's most likely that files or part of the files that were located on that sector are unavailable. It's a minor thing and should not affect the performance of your new hard disk. You can use Acronis Migrate Easy to successfully deploy the image to a new partition using a easy and helpful wizard.
In other words, you can copy the image to a new hard drive because the bad sectors will remain on the old hard disk.