No, the GNU AGPL doesn't have anything to do with copyright of APIs question (at least, no more than any other copyright license given these court decisions). After all, the GNU AGPL was published in 2007 -- long before this whole legal battle started and even before Android itself was released.
The GNU AGPL has additional restrictions that require redistribution of the source code under the GNU AGPL to users which access the software over a computer network (AFAIK those particular restrictions have not yet been tested in court, so it's entirely possible that they're unenforceable).
The GNU AGPL has additional restrictions that require redistribution of the source code under the GNU AGPL to users which access the software over a computer network (AFAIK those particular restrictions have not yet been tested in court, so it's entirely possible that they're unenforceable).