Our Ideas and Additional Information:
The Inc I would say is optional as I believe it is not best practices to include the Inc. in a logo. Overall as designers I trust your judgment for direction on what would look best for a health insurance company. I am thinking a thin sharp, elegant font for the main text, the tag line a light cursive font. I would like to see some type of graphical symbol, perhaps with some type of smooth vector curves that could somehow enhance / relate to the edges of the P's, this is only an idea, feel free to use any type of symbol(s) you think would be best.