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If you can identify this plant I would really appreciate it. I know it is most likely not a proper bonsai but I have not been able to find the plant anywhere online. I've included pictures from a side view and overhead view and a close up on the foliage. I have noticed that some of the little "trees" are turning yellow and their "leaves" are falling off, while some of the healthier green ones have white bits on the end of the "branches". I would like to know what it is to see if I can get advice to help it. Thank you for your time.

Not only is this not a proper bonsai, it has absolutely nothing to do with it. This is not a tree, It will be impossible to grow this into a bonsai.
While your post is off topic, I can try and reply. I think this is an asparagus setaceus.

For advice on how to care for it, sorry, I cannot help you.