Set v = c to obtain Schwarzchild radius. https://en.wikipedia.org/wiki/Schwarzschild_radius …
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you can't get GR from analytic continuation of newtonian mechanics
also at the event horizon there are plenty of relativistic effects not accounted for by newtonian mechanics (e.g. time dilation upon crossing etc).. black holes need to be treated relativistically
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No. You are thinking small black holes. Very, very big ones don't even have significant tidal effects. The biggest known (the entire Universe) is flat (total energy exactly zero.)
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that is precisely my point! you're choosing to just work in weak gravitational fields just so you can ignore relativistic effects
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