Second Mac - Cannot not access more than one machine

Hi,
I am trying to install access on two separate Macs.
The program only appears to see the most recent client. When I turn on the second computer I do not see a second computer at the login, it replaces the previous computer.
I saw that we should be able to install this on up to 5 different machines under a single license.

 

Hi @BillC5 , please help us with the screenshots, we will check and assist you further.