Picture would help. I don't know what you mean by "wooden box thingy." Does it have plenty of ventilation? Composting is an aerobic process, meaning it needs oxygen. Wood compost bins are usually made of slats, with space between:
I agree, the coco peat isn't a very good additive in your pile. It is water repellent when dry, so doesn't break down easily. It doesn't have much nutrients, so when it does break down, it doesn't add much to your compost.
Check out our compost forum here: https://www.helpfulgardener.com/forum/viewforum.php?f=35
The first three threads are well worth reading to get started. The first one has an extensive list of greens and browns for your compost pile.
I use a lot of fall leaves for my browns, but when I run out of those, I use shredded paper and often I just buy a bale of straw and feed it in a little at a time as I add greens. Compost everything!! Garden trimmings, pulled weeds, kitchen scraps, etc.