Hello Ajit,
Sorry to hear that you missed your deadline to earn the 60 PDUs for your recertification. We can definitely help you. Here are my answers and suggestions:
1. Yes. "The PM PrepCast Basic (For PDUs)" (
www.project-management-prepcast.com/pdus/earn-prepcast-pdus
) will indeed provide all 60 PDUs you need for your recertification. It not only provides the 60 PDUs you need, but also covers the 8/8/8 minimum PDUs that are required to cover the PMI Talent Triangle areas.
2. Yes. It is a PMI requirement that any "distance learning course" (basically any online course) must have what they call an 'end-of-course assessment' before you receive your certificate for PDUs. We call this our Final Exam and 95% of our students pass this exam on their first try. The exam is administered on our website and I am 95% certain that you will also pass it on your first attempt...

You may retake the exam as many times as you need to pass. But it's seriously not that hard.
3. Important: Please note that you CANNOT take The Final Exam immediately. We have implemented a 14-day Study Period during which the exam is not available to you. During this time you must study all the lessons / 60 hours of the course. Exactly 14 days after your purchase (to the millisecond) you can then take the exam and receive your certificate.
May I also suggest that once you have your PMP status reinstated, that you visit The Project Management Podcast and subscribe to the free version using a free Podcast app on your phone? In this way you can listen to the free podcasts over the coming 3 years and then you will not forget to earn your PDUs going forward.