Running Selenium Suites on a Selenium Grid
This page will help you a lot. It demonstrates how to set up a hub and nodes which connect to it registering their 'configurations' (what browsers/'capabilities' they have). And the last piece of the jigsaw which is having code programmatically connect to the hub and run tests on it (the hub will forward stuff to a relevant node so the tests get performed there).
No. Selenium Grid is a facility for Selenium RC users to run their tests across a variety of machines with fine-grained configurations (e.g., a particular version of a browser). As far as I know, there's no ability to specify that in the htmlSuite. If there were, you might be able to make it work. But running just a suite like this is not supported and likely never will be because that's not what it was designed for.