Is "someone" an attorney licensed to practice law in Indiana? If I were you, I would consult with a local estate planning attorney. Among other things, it would be worthwhile to discuss whether you and your spouse should create a trust and transfer title in your home to the trust.
I assume you meant to write "have," not "had." Regardless, why would you change it? Solely because you now go by your married name? Again, this is something about which you should consult with a local attorney. To be more direct, "what should I do?" is not a question you should be asking of anonymous strangers on the internet.
This is a hopelessly vague question, but see above regarding "what should I do" questions.
Then you'll be dead and won't have to worry about it and the executor of your estate will deal with it.
This is a presumptuous statement that is based on something we don't know.

