I think usually if there is an alkyl/hydride shift you need a carbocation intermediate first. So how could that form once the hydroxy group is protonated?
a non-classical carbonium ion is formed, causing the elimination of water.
Please don't confuse the poor kid! With the questions he's asking we don't need to invoke any fancy non classical conbonium ions, even if they do form. At the very least we can rationalize everything fine with classical (normal carbocations.
To answer OP's question: Protonation of a hydroxy group means that water can by pushed out of the molecule as a good leaving group. Now you have a carbocation that can do all kinds of fun things that you know how to push arrows for. Just draw hydride or alkyl group shifts, then do an E1 mechanism to give you all those products.