Hi there and welcome
First, what size are the SD cards that your using? And how do you know the phone does not register then SD cards?
Please let me know.
With the 32GB card in the phone, ho to Settings. Applications and swipe to the list all
Locate Google Services Framework.
Press it and press clear data.
Once done, restart the phone and tell me please if it is then recognized.
ok, note when you move the FB app to the SD card you lose the widget if you use it.
For the problem though, its pointing to a fault SD card slot on the phone.
We need to confirm this via a Factory Reset. This is going to remove all data from your phone and return it to new, so you need to first backup anything off your phone. As you cannot use the SD card to do this, you can use Kies 3 to backup to your computer and can get it from my link below
Then once the phone is backed up, go to Settings, Backup and Reset, Factory Reset and perform a reset.
Then setup the phone again and tell me if it now detects the SD card please.
Let me know the result.