Does a second divorce count after the husband says to his wife, "You are not my wife; you have no right to ask anything of me," while believing that the first divorce has occurred and that the reconciliation is doubtful?

The phrase "You are not my wife" is a metaphorical divorce (kinayah), and a divorce does not occur by it unless you intended it as such. As for your statement to your wife, "You are divorced," it is an explicit divorce (sarih) that takes effect even if you were joking. If this divorce pronouncement does not complete the three, and you immediately reconciled with your wife, then she has returned to your marital bond.