Every time I hit the power button, it says, "resolving, connecting, logging in..." and then it goes offline. I've uninstalled and reinstalled Hamachi many times and I've deleted the LogMeIn Hamachi folder in Library/Application Support and I still can't go online. Any idea on how to fix this?
I use a Mac OSX and the version of Hamachi I use is 126.96.36.199.
For the problem I described you have to reinstall Hamachi(with removing all settings). Soon we are introducing dynamic IP assignment which will solve these issues, see the related post for more info.
Based on your post you have a different problem: your client can go online on the server, but cannot go online in a particular network. Since it is suspended that is most likely because your client is over the free limit(5 members) in that network. Purchasing a subscription and assigning it to that network will solve the problem.