At the second wedding scene, both Monk and Justin are temporarily impeded by the door at the sanctuary entrance. Between those two occasions, Captain Stottlemeyer and his team enter and find the same door unlocked.
Monk and Justin start banging without trying the door, then Justin takes the handle and lets himself in.
When Adrian is at Max's release at the prison, he is standing to Max's left in shots from behind Max, but to Max's right in shots facing Max.
The legal effect of the exoneration is the defendant has asked that his first trial (his conviction) be erased (as if it never happened), allowing for a new trial on the original charge. Double Jeopardy is not an issue, since it is at the defendant's request. Unless the trial is erased, the conviction stands. What the Fifth Amendment prevents is the reverse: If a defendant is acquitted, the state cannot ask to have that trial erased.
If Max was exonerated, he would not move into a half-way house.
In the closing scene Cpt. Stottlemyer tells Lt. Disher that they can't get a search warrant for 2 weeks because a particular judge went on vacation. This is highly unlikely as there is always a judge available to issue (or deny) a search warrant for the police.
When Max and Paulie are fighting, there is one take where Paulie has a full head of hair and, the next moment, he's back to being bald. Thus, a stunt double was obviously used.
Just after the opening credits, Paulie Flores (played by John Kapelos) is watching a San Francisco news program on television that announces the release of "The Wrong Man." Behind the newscaster is a photo of San Francisco that is flipped. In the photo, the Transamerica Pyramid is on the left and the Bay Bridge is on the right. In reality, if you looked at San Francisco from the same vantage point, the Transamerica Pyramid and Bay Bridge would be on the opposite sides (i.e, looking at S.F. from the north, the Pyramid is on the right, the Bay Bridge is on the left).