Renderama doesn’t need a key, that’s why EIAS is so affordable, because your render-farm can be as big as your access to computers is.
If you want to run Animator on different machines, I believe that depends on what version of EIAS you have, or more specifically what dongle. I think all of the more recent versions (after 5.5?) run on all supported platforms. Just install the appropriate software version.
You can always upgrade your dongle if it doesn’t work. I’m sure the good folk at EITG will assist you in figuring out what you need if you email them.
Yon