In a scene Lucy can be seen from various angles, as she is receiving Rad Away through a tube from an I.V. bag. The tube and the I.V. bag magically disappear between cuts.
At 13.05 minutes Lucy has an radaway IV attached to her. Then she stands up and in the next shot the radaway IV is no where to be seen.
When Lucy is getting the Radaway IV drip treatment that Maximus gave her, after a while she immediately gets up with nothing attached to her arm.
Just after seeing the sign for Shady Sands (New California Republic), Lucy and Maximus emerge next to an enormous bomb crater, on the opposite side of which are damaged sky scrapers. Any explosive device sufficiently powerful enough to create a crater of that size would have flattened tall sky scrapers adjacent to the crater.
As Lucy and Maximus walk down the railroad tracks before reaching the bridge a ship is just barely visible sailing from left to right down the waterway behind them.