The amendments you suggest are all wonderful but I've found that shredding the leaves with either a shredder or lawnmower helps them to break down more quickly.** With no disrespect meant, I do not agree with the use of sphagnum peat moss.** Peat moss has very little nutrient value, and once dry, is difficult to rewet.* Ever have a potted houseplant dry out and then water it, only to see the water sit on top of the soil for a long time?* Here's some helpful info about peat moss and why I don't recommend it in the garden.
When weeding, the best way to make sure you are removing a weed and not a valuable plant is to pull on it. If it comes out of the ground easily, it is a valuable plant.