I identify primarily as a nullifidian: one with no faith or religious belief. Philosophically, I don't start with the question of a deity, but start from the ground floor.

Have I been provided evidence supporting the existence of miracles--an interruption in nature's steady chain of causes and effects by a supernatural intervener? No, I don't accept the existence of a miracle. Do I accept that faith--assuming to believe things about which one cannot possibly know--is an attitude one should have? No, I don't accept the validity of faith. Having said that, I've seen no evidence which would constitute knowledge or upon which to base a belief that there is any power superior to nature.

So if I lack any knowledge of, or belief in, a deity, I happen to be a nullifidian who's both an agnostic and an atheist.

My stance on this is known here and is not popular but since you ask, I personally find agnosticism cowardly, indecisive and the worst kind of non committal, hedge betting and fence sitter without the courage of their own convictions, that there are.
Most agnostics will fall back on the age old Theist chestnut
"You cannot KNOW or PROVE that there isn't a god"
Which is perhaps one of the most fucking stupid statements anyone can make.
I cannot know or prove there is not a little green goblin called Mr. Shit gobbler who is invisible, intangible and inaudible living up everyone ones arse hole, but I have no possible reason to think that there is, no evidence of its existence and am not making the claim that it does not exist because there is no need to, it is bloody ridiculous.
By all means go and probe random bumholes trying to find proof it it brings you pleasure but the fact you want to do something so fucking stupid says more about you than you would perhaps like people to know.
Agnostics are the sort of people who buy copies of the the Warcry, the Ensign and the Watchtower just in case and hope that on the day of judgement, if it turns out to be true, that they get keep the red hot poker away by yelling "Well I never said you didn't exist M'lord"

If one has the mind to examine and explore then it is an acceptable position.

If one doesn’t then there is no point asking someone with such a mindset to consider anything beyond their realm of expectation.

In answer to you question, yes it is an acceptable position.

I don't understand the question. Could you flesh it out a bit?
Anyway I'm atheist about a personal Abrahamic god, but agnostic about the potential (probable?) Explanation for existence itself.
After all, there MUST be an explanation, right?
But what is it?
Do YOU know?
Does ANYBODY know?
I didn't think so.
So when somebody asks me if 'god' exists, what am I SUPPOSED to say?!?