HI chicks
In the Brooder
What I've done when I lived in nor-Cal was put old sheets or old clothes or you could use burlap(I like to recycle though) moisten them and let that sit moist for about two weeks then stir. I would suggest not adding any other carbon or nitrogen sources and lot nature do is thing. It will become compost, just be patient. Compost will generally take from 3-6 months depending on the material used. I actually own a small scale composting company here in Hawaii(no I don't live at the beach or surf.. ) What I suggest to clients is EM*1. It is effective microbes in a bottle and that will help the compost along even if it doesn't get thermophilic
Try digging two or three holes or a trench in it and depositing these "green" items in. I only know about composting in terms of "green" and "brown". It seems to me like you have a lot of brown but not much green. When the weather warms up it will happen more quickly, try letting the chickens do some of the work for you too.