Between Rick (in Sharon's body) and Sharon (in Jack's body) they came up with a story to explain to the police how "Jack" had rescued "Sharon" whilst Rick had gone in search of "Jackie" whom they figured the police, if they didn't know already would soon figure out was Rick's unwilling accomplice. They coached Jacob (In the Jacky body) to say she had fled from Rick when given the chance and how being arrested was actually a godsend for her as it enabled her to finally escape from Rick's controlling ways.
Jacob was totally confused. She still did not understand how she had come to possess this strange female body but decided to go along with the plan as Jack seemed to think it was a good one. Her memories of the previous night were vague but it seemed to her that Jack had apparently scared away that Rick character and had somehow prevented him from returning, allowing her escape. Jack had become her knight in shining armour. She felt safe in Jack's presence and had already forgiven him for essentially raping her the previous night, thinking that, as she was in the body of Jack's girlfriend his actions were explainable. Besides, despite the sex initially being unwanted, it had actually turned out to be a very pleasurable experience. Jacob remembered Jack whispering to her "I would like to do this again" before he fell asleep. She hoped he meant that.
The real Jack, occupying the Dana body, understood totally what was going on. She knew the only way to get back to her correct body was to find that medallion and cooperate with Sharon and Rick. She agreed to go along with the concocted story as well, happy that in the scheme of things Dana was just an innocent bystander. The story did not conflict at all with what she had previously told the police.
"Jack" suggested that "Jackie" and "Sharon" should tidy themselves up a bit before going to the police. "Jackie" had already donned a stylish Maroon dress from Dana's wardrobe. "Jack" showed her how to brush her hair and apply make-up. Jackie enjoyed Jack's attention.
The new "Sharon" was more reluctant. She was wearing trousers and a man's shirt, designed for the Rick body. She had refused to wear women's clothes when coming from the safe-house to Jacob's apartment. "Jack" tried explaining to her how a real woman wouldn't be seen dead in such ill-fitting clothes but Rick refused to budge. The argument was finally settled when "Dana" pointed out that Sharon was supposedly traumatised after her kidnapping and "Perhaps she had just put on the clothes nearest to hand, when she had escaped"
"Sharon" won the argument but didn't admit that she was tempted to ask for a bra, as she found the way her breasts bounced with every step very annoying.
"Dana" ended up driving the group to the police station in Jacob's car.