A) No taxable gain is recognized as this would qualify for a Sec 351 transfer. However, if liabilities exceed related assets, the shareholder will recognize a gain for the difference and their basis in the new corporation would be zero.
B) Section 331
C) No need to attach a plan to the tax return, but you do need to attach a Sec 351 statement with the new corporation's first return.
D) No disclosure needed, as noted above.
E) You will take a property distribution of the equipment at net book value from the old corporation. You will then contribute these assets at the same value into the new corporation. Record this transfer to the new corporation retaining the same actual cost and accumulated depreciation. Continue to use same depreciation schedule as in the old corporation.
Please let me know if you have further questions.
Using the gross method, you would consider all liabilities and assets together as long as this was all one initial Sec 351 transfer. Under your scenario, there would be no recognized gain. The $1K would be the basis, allocated to stock and APIC if needed.
If there were a gain, it would be LTCG.