Can I put my java server in the cloud?

Thanks
So, basically, the answer is yes.

Would my game be classified as an EE application? It is a Java class with datagrams and sockets as a connected server at an IP address.
Cloud server space is just accessed from Java code, just like calling a function method within a class?
If I program my game locally in my office, will converting the server Threads to the cloud be straightforward?
Should I program the whole thing from the cloud as step 1?

, I shouldn't have, like my last one, the server Threads sitting on my office floor machine?

You can, perhaps, think of the new scenario as being in 'the cloud' (though that's often associated with just storage) but all that's changed is the location of the server.

It's not a J2EE app as such, it's just a client server Java app so you will need hosting that allows you to run an app in a  JVM

Is processing payments within a user-account, for certain account aspects relevant here, or is that for SQL?
I'd like my site's users to pay for access to certain features, actually, pay to enter a state of readiness for inclusion in a game. Does that influence a decision here, or is that completely within my game's pre-game setup? Another question, but I'm just curious for a quick mention?

Thanks

I assume payment verification is relatively simple?