Using Google in China is not illegal at all, while GFW is evil, you can bypass it with the right tool, and programmers' live depends on it.

You can not claim GAS at the moment, you can use NEO safely, and your GAS (claimed and unclaimed) is always there within your account, Exodus does not do anything about your GAS. You can find how many unclaimed GAS left in https://neoscan.io. And stay tuned on GAS claim updates :)