Question: If we move the house to a different location vs demolish how  would this affect the 1033 and capital gains tax.

Are you looking to replace your income?

This is how Wall Street brainwashes us to constantly throw money into a 401k instead of investing in income producing real assets.

Projected income minus projected expenses etc.

I owe approximately $2000 in property tax on that property.

For passive income you can look at REITs or DSTs as well. 

I think Underwriting requested gross income to better assess "loss of rental income".

You can use one EIN for both entities since you're operating under the holding company LLC, or your CPA may advise obtaining a separate EIN for tax purposes.Ensure that the bank adds you as a signer using the company's EIN, not your SSN.

We would like to keep the operating revenue and expenses separate from our personal stuff but want to file them along with our personal tax returns.

Think diversified income, ability to market effectively, no risk of OTA algorithm changes that have negative impacts, etc