Few questions on roman censorship in general

I want to ask few things about how roman censorship worked in general, if we know anything about it, since many different scholars supposed there are some hidden anti-roman messages or references in the new testament, so

-Would roman authorities actively search for possible dissident texts, e.g. would christians have a realistic reason to fear that someone would make effort to read there texts and make charges against them

-Would roman authorities punish severly such works or would rather ignore them and not see them as a significant threat, especially if it's a case of spiritual or artistic writings

-Would they charge or hunt down equally the authors of works which are satirical, open to different readings etc. in short how would they treat indirect or covered-up speech against the empire

I guess we don't know everything in details but I'm interested to know as close as it is possible. I guess someone has already reasearched this since it then explains if they had any reason to code messages