The names are "Orbital Processing" (for refineries) and "Off-world exports" (for Trade Ports). Both in the Nanotechnology area at the top of the empire tree (as Darvin3 said).

Another thing I couldn't figure out was the phase stabilizers.  I don't know how to send my ships through them.  If you could help it would be appreciated.

Only one thing to add to that. Sometimes the phase lanes just seem to take a bit to pick up on the fact that they should exist. Like, if you have two phase lanes, sometimes it'll take 2 minutes or so for the phase lane to "exist" like annatar said. 

Another question I have is when I try to get on to Ironclad online.  I try to create an account, but when I try to 'accept' it tells me that I have the wrong version of Ironclad online.  And another thing is that I still have version 1.0 and when I try to 'download updates' it says that it can't find the web page.  What is going on???

It means you need to patch.  Patching is now handled by impulse.  Download impulse (the "downloads" button at the top of this very page will link you to it) and it will automatically update you to the latest version, allowing you to log into ICO.

Nope; I have Sins installed on two computers myself for LAN purposes and have no problems.

You've won the game when all your opponents have surrendered or are defeated.  A player or ai is considered defeated when it no longer owns any planets.  Once you've won, you will be prompted to either quit or keep playing.  If you keep playing, you're basically in a never-ending sandbox.  I think this is what you did by accident after your opponent surrendered.