You seem to be flip flopping between rationalism and empiricism. When one of the arguments from a rationalist point of view fails, there is an appeal to empiricism and science. The goalposts are changed.
No, there's a hierarchy. If you can have an absolute, via say pure logic, great. If you can't, you drop to evidentiary basis.
Again an argument without evidence can still be rational without scientific proof.
Yes arguments can - these specific arguments, however, aren't.
In cosmology, all arguments fall into that bracket.
That rather depends on your definition of cosmology - I'd suggest Professor Brian Cox and his colleagues at CERN would have a different interpretation of that. Attempts at Cosmological Arguments for a creator attempt to fall into that bracket, yes - again, though, they fail.
As well as the flip flopping. You do have the outstanding charge of suspending the pursuit of cause or reason when it suits in this matter.
Putting aside that you apparently wouldn't know a flip-flop from a brogue, no. The pursuit of cause or reason isn't suspended, but in the absence of a current resolution from absolute logic we still to have to operate in the world, and so we move to the next level down - evidentiary conclusions, which are technically only provisional, but they last until something comes along to call them into question, and 'but I really believe' doesn't really cut it.
My money is that there are people who see the argument from contingency and the PSR as reasonable even though they are not prepared to accept the necessary being as the Christian God or God of any sort.
There are, of course, always people who are wrong. There are always people who believe, and then try to find a rationale for their belief after the fact, just as there are undoubtedly people who don't believe, and find explanations after the fact for why.
Alternatives, as I have pointed out are outlandish, suspend reason to suit, Close off discussion, mock science.
Of course they're outlandish, they're considerations of phenomena so far beyond our day-to-day rationale that we don't have any experiential basis with which to interpret them, we have to try to imagine the possibilities. If someone has a prosaic explanation I'd be concerned. As to the idea of suspending reason, so many of your arguments fall into the special pleading category that's not even just ironic, that's Alanis Morissette levels of ironic. They don't close of discussion, they just highlight why the particular points you're trying to bring aren't worth exploring - if you want to stay in the discussion, bring better ideas.
And as for 'mocking science', you don't appear to understand that trusting to the scientific method is not automatically 'scientism', which isn't automatically 'anti-theism
TM'. Not that you'd try to shut down a line of discussion with an ad hominem, or anything...
O.