1. Why is it important to make sure that miners spend money (on electricity) while mining?
By spending money the miners are incentivized to follow the mining rules and earn their money back and make more money
2. Why would it be very difficult for someone to go back change a previously added block?
It would be difficult to change a block because all blocks forward would thus be rejected would not fit in with the currently accurate and accepted chain - There is no incentive built in for changing a block.
3. How does the network regulate mining difficulty?
The network regulates difficulty by making the NONCE more difficult to find when there is more hashpower to find it. When there is less power to find the NONCE then it becomes easier to find. Rewards come from finding the NONCE