DLA to PIP = zero points, will benefit be stopped?

Please can anyone advise whether DLA will continue to be paid during period of requested Mandatory Reconsideration? Sorry if this has been covered already, but I couldn't find it on the forum.
My daughter (Aspergers) previously in receipt of DLA for 6 yrs has been scored zero points for PIP, despite compiling extensive answers, using your very helpful guides. Reasons given that she no longer uses any medication or therapy for her various and complex mental health conditions. Also that, since moving to a different county to attend University, she no longer has a social worker, or any support (through choice as is her right not to disclose disability at Uni). All detailed explanations of several and complex mental health conditions written in PIP2 and provided at F to F (which was recorded) have been disregarded, so appeal will be made after MR.
Slightly confused about time given for MR, as letter states 28 days/ one month, but DWP info on .gov website states that it's only 14 days from date of written explanation, which for PIP is included in letter stating result. So do we have 14 or 28days to make the MR from date of letter (which took a week to arrive!) please?
Also, local Council have now refused to pay Housing Benefit (as she is a Uni student, only entitled to HB as she is disabled). We fear that if HB is cancelled, even if we finally win PIP on appeal, that she will have to apply for UC as H Ben no longer exists for new applicants. Also no rent payments for several months. Any advice gratefully accepted?
Goes without saying that this whole horrible, stressful process has adversely affected her (and my) state of mental health. She even told the assessor, when asked, that she's regularly seriously contemplated suicide. She didn't want to apply for PIP and now wants to give up on the whole process, because of the effect it's having, also that she believes the Gov wont pay her any more benefit so why put herself through all this distress, to gain nothing! As everyone on this forum knows, being disabled is hard enough without our own Government sticking the boot in with this unecessary, tortuous attack on people's lives. The whole process of having to justify how badly a person manages their day to day living is undignified and debilitating. Difficult enough for an able bodied/ minded person to have to focus in minute detail on their difficulties, let alone anyone who is vulnerable and susceptible to this damaging and negative attack on their ability to cope with their daily struggles. Sorry for the rant, but SO frustrated and angry with mindless, uncaring Government bureaucrats

Don't wish to be disheartening but I would think it extremely unlikely that somebody who is going to university would fulfil many of the criteria for PIP on mental heath grounds.......I dont know the case but I would think unlikely to be successful