Hi Sudarshan,
1)There's a book called "Design for Test for Digital ICs and Embedded-Core Systems-Alfred Crouch". This is a good book to start with. Or otherwise if you type DFT Basics in google and go to the first link (which is from edaboard) you can very good learning materials.
2)Yes to work on DFT you need some tools from Mentor Graphics (Fastscan, DFT Visualizer, Testkompress). Cadence also has a good tool named SOC Encounter. You can check whether you have a license for this tool but i highly doubt.
3)There are some projects in DFT which has already been done by some people as a thesis work. This you have to search in google.
Thanks and Regards,
Shakti