Lois couldn't help rolling her eyes at both the "protection" and "future girlfriend" remarks. Especially the future girlfriend one. "I'm starting to think Smallville has too many names. Doesn't Andrea call him something, too?" she said, smirking just slightly. Focusing on stuff like that made it easier to stay calm.
While Kara stared down the building Lois kept her eyes moving, making sure there was no one coming at them suspiciously. She kept one hand on the bag, just in case she needed to get in it quickly. "Now you know how us humans feel. See if you can get a closer look," she added, still scanning the street. "I'll be fine here for a minute. It's not like they can possess me again."
And yes, Lois was fully aware that possession wasn't the only worry just then, but they needed to see if this was the place or not. And she was willing to admit that Kara was more likely to be able to figure out if this was it without having to just crash into the building.