-You need to use the new name BBB, and Address 3 (current address), at the same time, you needs to ask the company to give you a copy of the company name change (purchasing) document and a letter to address and prove the Company AAA has been purchased and Company BBB is the successor-in-interest. Thus, you can use the H-1B approval notice sponsored by Company AAA to get the H-1B visa and enter US.
Talk to your lawyer to make sure you have all the documents for the H-1B visa application.