From Wikipedia:
Fascism is a far-right, authoritarian, ultranationalist political ideology and movement, characterized by a dictatorial leader, centralized autocracy, militarism, forcible suppression of opposition, belief in a natural social hierarchy, subordination of individual interests for the perceived good of the nation and race, and strong regimentation of society and the economy.
The only part that could vaguely be associated with capitalism (in a democratic country) is "militarism" and even then this is only the case if you mainly focus on the USA. The fact that fascist countries were running free-market economy is also not really a point since that was (and is) the case for a large part of the world.
"subordination of personal interest" and "strong regimentation of [...] the economy" is the opposite of prototypical uncontrolled capitalism. Saying that capitalism is fascism is just as stupid as saying that fascism and socialism are the same ("bUT it wAs cALLed naTIOnaL soCiaLIsm"). Using the word "fascism" for everything you don't like just makes it lose all meaning.
That really depends on how exactly the public broadcasting is funded. In Germany for example, this happens independently from other state expenses so there's no way that the government can directly controll the press. For this reason, the press tends to be critical of all political parties, including the ones currently in government.