They'll catch on sooner or later. Earwigs are rarely a serious threat to crops and they can be an aid to the composting process as scavengers. They prefer cooler piles. Buy peat moss and combine with the materials that are high in nitrogen. Yes, if shredded and mixed well with other materials.
Newspaper is also a good mulching material and be placed beneath wood chips for a path.
The inks used today are generally non-toxic. Sifting out unfinished materials is helpful if the aesthetics are a problem. Store them in sealable plastic containers and layer with sawdust to minimize odor problems. They can be used by burying them under at least eight inches of soil or turned in a hot compost. Yes, but care must be taken so the compost produced does not replant the weeds where they are not wanted.