In question 3. Cauchy Shwartz will be very helpful... In question 4. No long calculations are needed here. Find out what happens when the teleportation protocol given in class, is applied to the first qubit in a two qubit state. A simple way to calculate it is to write a general state of two qubits as \alpha|0>+\beta|1> with \alpha, \beta being vectors describing the qubit not being teleported.