What’s the difference between Project Management & Program Management? And is it suitable to apply to a position in Program Management area with project management related work experience?

Actually programs and projects are sometimes the same thing. Some organizations use the term program management, when they mean project management. Whereas project management has a fairly common definition these days, program management often means different things to different people.

In the PMI world, a program is a collection of projects that all have a common objective, and a program manager is therefore coordinating the projects across the whole program. In your particular situation, I would look at the job description carefully, and if your skills and experience are appropriate, I’d apply.