The simple answer is, Perez killed Kodak. Or, the doctor killed patient.
Pérez has been CEO of Kodak since 2005 and the Chairman of the company’s Board of Directors since 2006.
1) Why has Kodak been focused in inkjet business for last few (critical) years?
"Mr. Perez brings to the task his experience from a 25-year career at Hewlett-Packard Company", ..." Mr. Perez served as President and CEO of HP’s inkjet imaging business for five years." (From Perez's resume at Kodak website)
2) Why Perez should be fired?
Under Pérez's leadership the price of Kodak shares has decreased from around 25 dollars (in 2005) to less than 50 cents today.
3) Should Perez serves in Obama’s Jobs and Competitiveness Council?
Perez "serves on President Obama’s Jobs and Competitiveness Council, which is responsible for promoting economic growth and job creation in the U.S." This is definitely a wrong committee to put him in. According to WikiPedia, "Antonio M. Pérez (born 1945) is a Spanish businessman". It might be best to send him back to save European from their sovereign debt crisis.