backup – old iMac TM HD to a new iMac

I have a TM HD from an old iMac
I want to transfer only photos and some documents…
it only give me to transfer all the backup without files and folders selection

  1. is there’s away to do it ?
  2. if I define the old HD as the new TM HD, will it still see the old backups , so I can upload selectively… ?