Hi there, I'm Tim and will be assisting you today. I have over 15 Years as an Engineer and have been with eBay, DoD and many others. I will do my VERY BEST to help you. If you like i can offer remote access and a call. In addition, with any positive rating I will support your question going forward for free.
From my experience, this is usually a sign of a bad input device, when they start ghost walking across the screen or typing in 17 characters. As far as the mouse twitching and moving around, clean the mouse pad with rubbing alcohol and a paper towel, that sometimes helps. As far as the keys go, try unparing it with the ipad and repairing it. I'll be back around later to chat more if you would like.