Hi Erika,
Just a quick draft since you asked "would you do something different" and not "adjust this image".
1. Kerning ... the space between letters is not consistent ... it makes the lettering appear "off"
2. The "R", "I" and "N" interaction, at a glance, looks like a "W".
3. The "N" looks like an "M"
4. The kerning between "C" and "E" makes them, at a glance, look like an "A".
5. When I look at the whole thing quickly and casually, I almost read it as "Puma" and not "Prince".
My "do something different" includes:
1. Thicken the "P" just a bit for balance.
2. Refine the lowercase "R", "I" and "N"
3. Adjust the kerning between the "C" and "E".
.... of course, it needs to be smoothed out in Illustrator or Photoshop