When Micheal meets Nikita prior to briefing, she removes her hands from her pockets and is wearing long, mid-forearm, tight, black leather gloves. The camera immediately cuts to her joining the main cast of Section 1 to the briefing table where she sits downs: her gloves have now disappeared and she pulls them out of her pockets and put them back on.
If it were true that Nikita had been watched from the moment she was given her apartment, at the of episode 1, then episode 2 is retroactively flawed: when Michael goes to her apartment to look for the "friend", all he had to do was go to Eric and have him fast forward through the video tape of that very day; he would have known that that woman was still there and had not left. But Michael left without finding Julie.