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Discount should be counted as a cap cost reduction.
Money factor - they should give you the base money factor if you have good credit, but check.
The Residual for August is 59% on a 328/335 sedan for 15k/year.
The acquisition fee is typically paid up front, but can be rolled into the payment (but then you'll pay interest on top of the fee).
Keep in mind if you trade in, and then total your car a month later, you've just lost the value of your trade. MSD's are a great way of "loaning" BMW your money in exchange for a lower money factor and less interest. They are fully refundable so if you are OK with the cash up front, do them. Sadly I wasn't eligible for those due to NY law.
Gap insurance is included in the BMWFS lease.
The bank/acquisition fee should be $725, watch out since some dealers like marking it up to $925.
You include the down payment and trade in value as part of the cap cost.
Keep in mind what I mentioned about trade in value and down payments. You may want to consider selling your car privately and keeping that cash earning interest with a slightly higher monthly payment. You'll end up paying slightly more in interest, but you don't run the risk of losing the whole value of your trade if some bozo smacks into you.
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