I have a notebook / tablet - PC purchased without a hard drive, the device is a bit older according to packaging should be installed in this device times a hard drive with the label: "HDNB 500.0GB Toshiba MK5065GSX / 540".
do these hard drives fit on the following connector?
This looks more like a PCMCIA slot. Hard drives are usually installed and screwed inside.
The MK5065GSX is a SATA disk whose counterpart looks like this before all the other openings are photographed:
The connection does not look like SATA. Just take the part with you to a PC shop, they should build you the right HDD.