Business Administration is a catch-all for business related classes and includes coursework in business administration, management, accounting, marketing, information systems, math, and statistics. Business management seems like it should be more specific to the management field and might not be to emphatic on accounting, marketing, and other business type classes. Accounting is going to be pretty specifically accounting related, but in addition to courses in auditing, managerial accounting, financial accounting, fund/governmental accounting, and tax accounting, there will also be requirements for math, business administration, computers, stats, economics, etc. Regardless, you will also need to take the college's core curriculum courses in English, History, Science, etc.
My advice would be for you to start out taking mainly the known core classes and add some other classes each term; e.g., take English, Science, and Accounting 101 the first term, History, Econ, and Bus Mgmt, the second term. You'll soon learn what interests you as well as what you're good at.
As a side note, you'll notice that some folks don't do very well in the Accounting classes and those people tend to major in business, instead. There's nothing wrong with that, but not everyone can twist their head around double entry accounting concepts.
I didn't see that you wanted to be the head honcho. Most ceo's rise from either the marketing function or the finance function. The process is mainly dependent on what the company does and what is thought to be of the most importance to the organization.