Yes.
No expense for repairs done after January 31st may be claimed for house A.
As long as the interest you are claiming is interest on loans "secured by the home" and "used to buy, build, or improve THAT home", you can claim the total amount for both houses. (within a loan limit of usually $750,000)
Once Home A was no longer a rental, the interest would be included as "Home Mortgage Interest" and reported on Schedule A if you are able to itemize. Same with Property tax. Homeowner's insurance is only deductible for a rental.
The TurboTax interview for mortgage interest is very confusing, please take your time, read the questions twice and answer carefully.
Correct, Depreciation Recapture is addressed when the House A is sold.
Improvements are only those things that add value to property, not anything that brings it to its original value.
The sale of House B should qualify for exclusion of capital gains if it satisfies those requirements.
Converting Rental
Home Mortgage Interest
Sale of your home
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