2.) you are free to have this opinion
3.) you are free to have this opinion also it wont change the fact he posted a lie or something that was factually not true as facts proved and you already pointed out yourself.
4.) again doesnt change the fact that what he said was 100% false, his opinions (and yours and mine for that matter) dont change the facts. Like i said if he would like to backpedal and admit this truth he is free too