Actually it is the same Jess. They are all quite literally the same Jess just in different portions of an overlapping loop. She gets a new jacket/cardigan at the house, which is why she has it on the Aeolus later on.

I'm something new entirely. With my own set of rules. I'm Dexter. Boo.

This message has been deleted.

Because she wants to try to change the outcome of what happened.

She wants to go on the Aeolus again, in order to end up washed up on the beach near home
before
Tommy dies in the car crash. She thinks there's a chance she can prevent his death.