The maoists are fighting against india only for economic deprivation... there are several other organizations in NE india who are fighting to break away from India- most have economic deeprivation has there agenda. And now the answer for your bolded parts
Disparities[edit]
Although East Pakistan had a larger population, West Pakistan dominated the divided country politically and received more money from the common budget.
Year Spending on West Pakistan (in millions of Pakistani rupees) Spending on East Pakistan (in millions of Pakistani rupees) Amount spent on East as percentage of West
1950–55 11,290 5,240 46.4
1955–60 16,550 5,240 31.7
1960–65 33,550 14,040 41.8
1965–70 51,950 21,410 41.2
Total 113,340 45,930 40.5
Source: Reports of the Advisory Panels for the Fourth Five Year Plan 1970–75, Vol. I,
published by the planning commission of Pakistan.
Bangladesh Liberation War - Wikipedia, the free encyclopedia
the average Bengali "Muslim" (not sure about hindus) were never against Pakistan or its ideology. Its only when you started attacking them, killing and raping them that they turned into "traitors"