I'd say off the top NO....mostly because installed programs have made some type of registry modifications. Missing the registry modifications will make programs that have simply been copied not functional. The detective work required can be significant.
Then there is the matter for going from a "Professional" version to a "Home" version. There could be other potholes waiting for you to explode them. The old programs could use capabilities not present on the Home version.
So my suggestion to you is simply go back to the original ISO/DVD/* install media and re-install your stash to the new Home system from scratch. It could save you a lot of time in debugging problems, and I'm sure you don't want to devote your life to a puzzle like this can produce.