3. What is the incentive to run my own full node instead of leasing my coins?
More revenue if you have enough people leasing to you and payout is not 100%. Also you can provide services on LTO Network with your node. Running a node might be profitable later on but it's not at the moment. If it is it's only marginal.
4. I want to automatically send my tokens to multiple wallets on the LTO platform. Is there a program or bot?
Yes, there are payout scripts that are used by node owners to pay leasers. These can also be used/adjusted to do other automateded transfers, e.g., LTOLPoSDistributor.