Very likely fake. Here's the stock photo for "Soil Sample:"
http://www.fotosearch.com/CSP081/k0818316/
There's a lot of questionable things about the presentation of the prop and the quality of the prop itself in terms of authentically representing a newspaper (color photo, typically of a front page, but refusing to show the headline banner, the date of publication, or anything that takes significant graphic design ability). The article itself is a little problematic and doesn't jive with Lane's writing style in MoS. However, let's just take it at face value and ask ourselves whether the scenario itself makes any sense...
NOT AT ALL.
After the Black Zero Event (BZE), are you telling me Metropolis happily went about its way rebuilding around the crater in their city without doing an environmental impact study? Heck, we did that after 9/11 without the introduction of an alien terraforming technology doing god knows what to our environment. Even if the BZE was entirely understood, the collapse of that many buildings alone would have demanded studies to determine whether there was airborne asbestos, toxic runoff, or other harmful particulate unleashed by the devastation. There's no way a mere student comes along years later intending to do a study of the city's clay foundations and is suddenly SURPRISED by toxicity... conversely, there's no way a mere student does a study immediately after the BZE and doesn't automatically suspect and expect the cause to be the BZE! Thus the timeline of the news article makes no sense.
However, imagine that little oversight for a moment and assume those facts to be true... she discovers, some time after the BZE and to her surprise (because life has returned to normal insofar as people are the picture of idyllic neighbors and playgrounds for children), the ground is toxic. "This looks like a job for Superman!" Except it isn't. Like, not even a little bit. Nothing in the powerset we've been shown equips Superman to answer this problem in any way, nor the traditional rendering of any of the characters we know to be in the story. Wonder Woman isn't going to be filtering toxic dirt. Maybe Wayne and Luthor can help by throwing money at it, but only with a lot of time which doesn't jive with when this film takes place. Finally, dramatically, how does any of this precipitate into a grudge match between the World's Finest?
I'm not saying this is entirely impossible, but I fail to see natural or logical story hooks into kids dying from playground toxins and DC's Trinity standing around being able to do nothing about it. If they do go this route, talk about a plot that's boring as dirt, they'd be LITERALLY FIGHTING [toxic] DIRT.
Fake.