On March 19, Saudi Crown Prince Mohammed bin Salman (MbS) will begin his first visit to the United States as presumptive heir to the throne. The extensive trip is scheduled to run through April 8 and involve visits to multiple cities. The crown prince will be aware of the need to polish his image in the United States since concerns regarding the recent corruption crackdown and detention of prominent Saudis, the humanitarian crisis in Yemen, and other issues could impact diplomacy and investment. Hence the visit is scheduled to include a measure of personal outreach by MbS to the U.S. public and opinion makers, including meetings with the editorial staffs of major newspapers and a scene-setting interview with the CBS television program “60 Minutes.” This visit comes at a crucial time, with Saudi social and political changes and economic reform gaining steam and Trump administration policies toward Iran growing more confrontational. Despite a general improvement in relations, or at least in atmospherics, between Washington and Riyadh since Donald J. Trump became president, several issues are unresolved and even most areas of convergence are works in progress requiring careful attention. Here’s what’s likely to dominate the conversations.