Lois is working, regardless of knowledge that she's a white hat its still the same as having bats drop down and pull you off the street and if you're rattled going into a meeting with a journalist of Lois' caliber where to get served at the restaurant she has to call in a favour. It'll mess with your head if you have other things on your mind.
As for Lois being on the attack its also because she wants to know if Oracle can protect her secret from Oracle's enemies. If Lois can get Babs to crack in her current situation its likely should someone nasty ever find her that Babs could crack again and ruin the gig for everybody.
I think what you don't like here is the fact that Lois isn't being nice cuddly in love with Clark Lois that we usually see over in Superman and Action. Instead what we are getting is the cutthroat investigative reporter that fought her way into the position of scariest woman in Metropolis. Which is something I've always felt should be shown more often.