A fresh PhD in Public Policy in Singapore can explore various career paths, including roles in academia, government agencies, research institutions, or policy think tanks. They might work as a policy analyst, consultant, or as a researcher focusing on public policy issues.

As for becoming a research fellow, it's not typically considered easy. It's a competitive position that usually requires proven research skills and a strong publication record. However, the specific requirements can vary by institution, and a fresh PhD graduate with a strong research background and relevant expertise may certainly be considered for such positions.