Despite Lex being shot twice recently in Lexmas (2005) and Lockdown (2006), Lex shows no evidence of the scarring when he is strapped down bare-chested in the warehouse. It is entirely possible that Zod's recent possession of him cured his wounds similarly to how Clark cured Lionel in Transference (2004).
While driving, Lex and Lana pass a woman walking down the side of the street. The two continue traveling and talking while Lex notices a suspicious vehicle behind them. The walking woman is seen in the shot. However, with the distance they'd traveled, it would have been impossible for her to still be so close by.
While Metropolis seems to be in Kansas or a neighboring state, the address for Robert Pontius is listed as 515 Grant St, Metropolis 99955, putting it in Alaska or Hawaii.