You are paying state tax to your state of residence because 100% of your income is taxable by that state, even if it was earned in another state. To prevent double taxation, your home state will issue you a credit for the tax you pay to the state where the rental property was sold. The amount of depreciation subject to recapture is determined by the amount of the gain on your sale. If your gain is greater than the accumulated depreciation, then 100% of it is subject to the depreciation recapture tax.
Regarding the Vacation Home depreciation and expenses (suspended loss carryover?) you haven't provided enough information to advise how you should deal with this. The depreciation would lower your cost basis and increase your gain, while an unused loss carryover would reduce the gain.
For the partially depreciated assets, I would apply a portion of the sales price equal to their current book value (cost less depreciation). You will have neither a gain nor a loss, and you get them off the books.
Yes, you have to file in the state where the property is located.
I do recommend you either use TuboTax Live to help you prepare your return, or engage a local tax professional.
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