Nicky and/or Alexander - S5-E11
Continuity mistake: When DJ and Stephanie are done playing with the twins and Jesse comes in, he takes the booties off their feet, thinking that they still had their hospital bracelets on. While he is still in the kitchen, you can see that the booties are on the table between the twins. These keep changing positions in between shots, even when Jesse goes in the living room leaving the twins unattended.
Nicky and/or Alexander - S5-E11
Other mistake: When Becky first names the twins before leaving the kitchen, Alexander has the peach booties and Nicky has the mint green. When Jesse takes them off and goes to put them back on, he switches these colors, making Alexander mint green and Nicky peach. The next morning, Jesse ends up switching them back to the original, making the baby's identities correct. Later in the episode when he does the foot print and discovers who is who, Alexander is wearing the mint green booties and Nicky was wearing the peach, which was not what the original colors were. So they either still mixed up the babies, or he "changed" the booties other times not shown in the episode.
Nicky and/or Alexander - S5-E11
Factual error: This episode takes place right after Jesse has had his appendix surgery. If he has just had that type of surgery he wouldn't be doing anything yet. It takes several weeks to recover from this type of surgery and he would most likely be tired and be resting a lot.
Answer: No.