The Realtek card is the (wired) ethernet connection and the Ralink card is the wireless one. Using a driver for your Realtek card doesn't improve wifi.
Make sure all updates are installed. If it still won't work properly you can get the driver for the 5390 from Ralink's website.
And Realtek Device 5209 is a cardreader. If you run sudo update-pciids you will get updated device names and Device 5209 will be detected as the RTS5116 cardreader. And then Device 5390 will also be shown as a wireless card.
But those device names don't really matter. They are only used to tell you what hardware you've got. You don't need the correct device names to be shown for the hardware to be working.
Registered Linux User #528502
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