Multiplex 125kHz RFID antenna
No, that analogue switch won't do given your signal requirements. Because of the need to keep integrity as high as possible I'd use relays. You'll need a relay that is 5V logic driven and has decent contacts. You'll need to switch both legs of the circuits unless of course you can make a decent claim for one of the legs being a solid 0V.

For the relay type I'd strongly consider using a sealed reed relay.

I'd use this type here. It's features are


standard footprint
single pole single throw (two needed per antenna)
200V contact
500mA switching
500 ohms coil (10mA to drive direct from logic)


There are two pole versions but unless space was a big issue I'd work with these. You'll need two per antenna meaning a drive capability of 20mA from your logic. This should not be a big issue.

Remember, if you use transistors to drive the relay coil, add an anti-parallel diode across the coil.