There's no 'real' (socket) internet plugin as of yet. You could probably make a primitive chat program or something with HTTP and a web server, but you're probably best off waiting until someone makes one.
For distribution, just hit 'Export to EXE' in the 'Project' tab. You only need to enable the Python checkbox if you've used Python in your game, if you haven't, don't check it. Hit next, press browse, choose a location for the EXE. (Personally, I wouldn't bother with the 'Create Installer' feature, I'd just put all the files in a .zip and upload that. Haven't tried the installer so can't help with that I'm afraid.) Hit Finish. Oh, and welcome to the forums