I like the choice of font and colors for entry #2. But the logos themselves do not mean a lot to me. I'd also like something that provides a stronger impact. Could be a more stand out and unique logo. Could be a slightly heavier tone in the font (say slightly darker shades)
"The core values transmitted are about simplicity, transparency, and community."
This logomark ( #3) conveys your core values... simplicity is found in the overall logomark itself, the medical cross is clearly visible & also referenced via color within the type... transparency is conveyed through the use of colors meshing together, slightly transparent to show through underneath... and community is referenced via the 8 abstract elements coming together to create a single element...