moving site

Hi, I've taken charge of a Joomla site that someone else set up, and it is my first time working with both Joomla and Hikashop. I have moved all the files and the database to my own server to work on the site there. I can't seem to get all of the parts of Hikashop to come up in the copied site -- namely these seem to be missing:
HikaShop Content Module
HikaShop joomla user account link plugin
HikaShop order history plugin
HikaShop products search plugin
HikaShop user synchronization plugin

Does anyone know how I can get these items moved from the working site to my "test" site? I do not have the full version install file for Hikashop and was not given the original user login information in order to re-download it.

Thanks; I did try the Akeeba backup a couple of times and gave up after much frustration creating, attempting to download and re-upload the backup files that were a minimum of 3GB (there is a lot on the current server and I'm not sure how much of it I actually need). Then trying to install the backup failed. I tried another backup program which crashed the site by doing "something", thankfully I had a backup of the database that I was able to switch to. I had to resort to moving all the individual files and database manually but now have the issue of a couple of the extensions not being completely recognized in the test site.

Yes, that is exactly what I did. About half of the extensions transferred just fine but the parts of Hikashop that I mentioned did not come up after the transfer, even after I did the "discover" under extensions.

OK so I will try to download all the Hikashop files again. Is there anywhere I need to look besides:

administrator > components > com_hikashop
components > com_hikashop
modules > mod_hikashop, mod_hikashop_cart, mod_hikashop_currency
plugins > hikashop, hikashoppayment, hikashopshopping

oops also plugins > hikashopuser

Well I downloaded all the files again and still no luck. I had to make a fresh Joomla install, install Hikashop (hoping it's not the business version) and then copied the file; now it works fine. Something is not being copied over, I just don't know what.