Very glitchy Razr on ICS PLEASE HELP

Heres the situation as quick and clear as I can make it:

A friend has my old Droid Razr. It was working perfectly fine before she got it. When it was put on her account these issues started happening intermittently:

-Everything done from the home screen sends her back to the home screen, i.e. opening an app (automatically closes), switching home slides (slides immediately back), or sliding down the notification bar, which just scrolls back up.

The phone HAS BEEN WET, but was dried out with rice and worked perfectly after being dried and worked up until put on this account.

It is in ICS, and was before the phone came to her account.

The cache was cleared from the boot menu, and the phone has been factory reset several times.

Also, the phone was logged in with a new Gmail account, so we've ruled out a bad set of applications.

I thought it might be software but HERES THE KICKER-

The phone seems to work perfectly when plugged in to a charger, even if the charger is not the motorola one that comes with the phone...

The problem seems to be something that happens from time to time but can be incinsistently frequent and aggressive. The problem also affects the ability to operate the boot menu.

HELP PLZ, I am at a total loss

 

My thought is that maybe the operating system is corrupt. I guess the home screen issue is something I've also heard from different Motorola phones. Does anyone know if this is something that may be fixable if I reflash the ICS operating system?

 

Safe mode had the same issues

 

Like I mentioned in the original post, we did several factory data resets. It seemed stable for a short time and would start getting glitchy again.

I don't know how a charger would stabalize the issue, or if it is even related.

Also it's not covered under warranty, as like I said the phone has been wet and the indicators are solid.