When Joe looks like Fred Rovick, he tells Allison facts to prove he is really Joe. He says that they tell everyone that they got pregnant with Ariel the weekend they got married, but Allison was really 5 weeks pregnant when they got married. However in Season 2 Episode 15 Sweet Child O' Mine, Joe and Allison talk about a miscarriage she had while they were married and before she got pregnant with Ariel. This is impossible if Allison was pregnant with Ariel when they got married.
While discussing the identity thief in Devalos' office, the security video starts off at 03:44:02+16 and the last we see is 03:44:31+19. Over a minute and a half later, we get another glimpse of the video and it's resuming from 03:44:41+03, meaning that only 10 seconds has passed.
When "Joe" is convincing Allison that he is her husband, he mentions that they got married on the beach in San Luis Obispo, CA. There is no beach in that city, the nearest beaches are Morro Bay, Avila Beach, Pismo Beach, all towns of their own in San Luis Obispo county.
When Devalos is reviewing the security footage from the bank of the identity thief Allison met, the time stamp has a time of 03:44:02+16. However, most surveillance systems will have the time in 24-hour format, meaning that the incident happened at almost 4AM in the morning, when banks are closed and it's still dark outside. For systems that use 12-hour formats, they would include AM/PM, which was not shown.