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It can help some, but it would be a very good idea to let them fully compost before using them. Living, or fresh would chips can sap precious nutrients from the manure, and actually give plants severe deficiencies. I would just make sure they are fully composted before adding them.

I will include a collection of articles here that will refresh you on proper composting: https://www.gardeningknowhow.com/composting/basics/

You can store unopened bags of amendments either indoors or outdoors under a tarp. Opened bags can be stored in the same places rolled up and taped shut. The only way the amendments would lose their nutrients would be if they were exposed to rain so that nutrients were allowed to leach into the ground, or if they were stored for more than 1-2 years. This article gives more details:
https://www.gardeningknowhow.com/composting/basics/storing-compost.htm

If you can manage to get it hot enough to break down then it will be fine. Otherwise, you may be looking at contamination. It is always best to avoid any feces from any animal that eats meat. This article will help: https://www.gardeningknowhow.com/composting/manures/dog-waste-in-compost.htm

These articles will help you.

https://www.gardeningknowhow.com/composting/vermicomposting/worm-composting-bins.htm
https://www.gardeningknowhow.com/composting/vermicomposting/worm-castings.htm

Yes, they can. It is an old myth that pine needles acidify the soil.

This is a concern. It isn't very likely, but it is possible to contaminate the pile with tobacco mosaic virus. Many plants can be affected by this. As long as the pile was correctly maintained, and the temperatures stayed warm in the pile then any bad bacteria will have been killed off.

I would test it on one plant before I used it for more than that.