When Lucifer is in bed with his therapist, her arms are in different positions in the short and long camera angles.
When Chloe is watching the video evidence of Debra's alibi, the time stamp shows 22:19, so the claim that she's there for three hours does not account for the 1:00 to 3:00 time of the murder.
The murder victim was wearing a strapless dress at the party, but when she is found in the pool (and in the video with Ty), she is wearing a bra with straps.
After the car explosion, Decker orders facial IDs from all security cameras in a 100-block radius. A 100-block radius is about 3 times the size of Manhattan.