Reagan wins, easily, but Anderson is 2nd.
Not likely. Anderson was never in a position to finish above Carter or Reagan, or either. His appeal was heavily limited to more affluent white voters from across the political spectrum. Choosing Brown may help among anti-tax types, but Reagan still has them wrapped up.
It's important to note that until the debates, it was a very close race. Reagan was viewed as an extremist, and Carter was pretty likable. Anderson certainly hurt Carter, but the final tally was more a referendum on Reagan hitting every note in the debates, while the President was miserable.