What improvements off the bat, would you make as the auditor manager?

First of all without knowing what improvements are needed I would first call a meeting together with the team to determine what we need to do as a team. What audits has everyone done? What roles have you played in each audit? What does the audit plan look like? Where is the documentation for the last audit? Then I would schedule individual bi-weekly one on ones with each team member to assess their skills and to build a relationship to get the job done.