In the Dixon's apartment, after Mildred picks up the book on the floor, she holds it with her right hand, maintaining the handbag in the left one. Soon after, when Dixon approaches her, she moves aside the right hand. The next shot shows her left hand leaning on her right.
When Dixon supplies drinks for him and Mildred, we see him uncaps a bottle and spills in the glass. Between cuts the bottle appears capped before we see him capping it. In the subsequent shots he moves the same bottle from one place to another uncapped/capped.
When Steele and Mildred exit the car on the way to his apartment door, Mildred is holding only her purse when they enter the complex gate. When they emerge after passing through the gate, she has the book and her purse.