Some of the previous responses seem to me to have lost the concept of what you are trying to do (based on your second post, not your first one), which is to simply get your data off the old drive - right?. This doesn't involve cloning the drive, imaging the drive or anything in that direction.
As YOGI said, just buy an external enclosure for the drive and plug it in to USB port on your new PC. That means you won't have to go messing about inside your shiny new PC to fit it internally.
Now, the reason "access is denied" to some files & folders on the old drive is because those files/folders were created under a different user account (even if it was your account, your new Windows doesn't know that). You just need to "take ownership"...