When does she say the incident occurred? How long after did she report it to the police? If it was within a day or so, it is highly likely they would have done a forensic examination of her.
If she had not washed the clothes she was wearing on the night it happened, they would have been taken for forensic analysis. Even if her clothes had been washed, the police would probably have taken her shoes and jewelry to see if they held traces of DNA.
Where does she say she went for the ID parade? The only ID parades that are normally ever done at that time of day would be a street search on the night of the incident- where police take the victim out in a car to the local area to see if they can spot the perpetrator.
It would make no sense to go back to the area days after the incident, in the hope that her attacker would randomly walk past. What the police would never do would be to take her to where they knew he was and ask her if that was the man who attacked her.
It is extremely unlikely that an ID parade at the police station would have been conducted at 3am. In almost all cases now ID parades are done by compiling a video montage of images, which can be shown to the victim at any time. The police would have no reason whatsoever to show it in the middle of night.
I very much doubt that even if they did a live parade they would have done so at 3am. I can't see how they would find sufficient (sober) volunteers on the street to come in at that time.
There are certain procedures that have to be followed for an ID parade, including the right of the defendant's lawyer to attend.
It is unlikely, but not impossible that a hearing date has been set. A defendant in a rape case, if kept in custody, would be taken to the Magistrates Court the following day, and the Magistrates would remit the case to the Crown Court to be heard for trial.
If the defendant is on bail, he would probably be going to the magistrates court about a week after he was charged.
You could ask her some sympathetic questions based on this information, and know that if she comes back with an account that differs from this she is lying.
What you do about that is up to you. Whether you continue to be her friend, encourage her to get professional help, which you will support her through, but let her know that you cannot trust her on anything she tells you (including whether she is getting help), or whether you drop the friendship, both would be justified responses.