I'm in the minority in that the mention of cops, oddly, makes this okay for me to read. It's like a hanging sign saying that this is okay because it's fiction and it's Superman and Lana and there's time-travel, once-in-a-lifetime stuff, whereas in real life, it would be cause to call the police.
Lana's pose in the second to last panel looks very not natural, conventions for representing surprise/relief be damned.