I am a bit of a loss to explain how Mr. Flowers was a Calvinist for so long, since his objections are pretty much entry-level problems that I would think would be resolved, one way or he other, before he became a doctor of theology. But those kinds of things happen, so I give him the benefit of the doubt. Still, the objections don't seem very sophisticated.
I am also puzzled how he takes a swipe at Arminianism with the old "God looking down the corridors of time" canard. This is especially true because he is essentially Armininian (except he won't give up once saved, always saved, although it conflicts with the rest of his soteriology with libertarian free will and all). Of course, he rejects total depravity, which Classical Arminians and Wesleyans affirm.
The truth is that he espouses in his "Traditional" soteriology a melange of beliefs that few Southern Baptist have accepted until modern times, roughly the middle of the last century.
Lastly, it is interesting that he believes that Baptist young people are being led astray by the prevalence of Calvinism on the internet. There may be something to this, but it seems odd that what he calls Traditionalism has had its hands on the levers of power in seminaries and pulpits for decades and has apparently failed to extinguish the heresy of Calvinism which he so desperately fights against.