Suri Cruise, the daughter of Tom Cruise and Katie Holmes, was spotted out and about in the Big Apple with a guitar in tow,RadarOnline.com has learned. The 18-year-old, who is set to graduate from high school in the next few weeks, was in good spirits while chatting with a friend. Suri opted for a casual getup, wearing a strapless top, shorts, and trendy brown leather boots as she carried her cell phone. An insider told , which published the new photos, that Suri has big ambitions. “Suri is applying to schools all over the place. [Katie] really does want her to stay in New York so they can be c…