Well, I'm new to this myself, but from looking at projected stats, it does look like your pitching might want an upgrade.
From watching Green over the last couple of seasons, I'm not real high on him, but he might do better in AZ (but in a 12-team league with not many positions, there should be a lot of OFs out there to replace him with if you wanted to trade).
Some of the prospects I'm watching that might still be available are R. Gotay, N. Logan, A. Rios, G. Atkins, and J. DaVanon.
Hope this helps.... Please look at my team to see if you can spot MY holes
Draft Tool (in progess!): http://www.grumpytom.com/fantasybaseball