If you have installed a retail version of Windows 7 ( ie not a HP upgrade ) you wil not find HP Recovery Manager as this is only included with the OEM version of the Operating System from HP. As you would have Windows 7 DVDs to reinstall the OS, it is not really needed anyway.
The Recovery Partition you can see when looking at your old HDD just contains the files etc to reinstall the old Operating System ( Vista ), it will not contain any of your personal files, photos etc. To locate these, if they are not corrupt, look in the C:\ partition of the old HDD.
I install a retail version of Windows, not a upgrade and I have the install DVD.
When I see the recovery partition it's almost 10 GB, I think it's with all my compressed file, not only the operating system, that's the reason to I want to use this recover manager. The other partition from my old HDD is corrupt and I can not recover anything.
Your personal files and pictures etc. are still on the old drive under "users" in drive "C". Open that and you will see two folders, one that says "public" and the other with what you named your computer (this may have an Icon of a small pad lock beside it). Everything should be in there.
Am I correct that you have connected your old drive through USB with an external drive mount ?
Your personal files have nothing to do with the Vista recovery manager on the old drive and you won't find them in there.