That's because I don't believe if a god(s) exist or not.
Firstly, that sentence doesn't parse. You can't "not believe if something exists or not", it's like saying "I don't believe if the light is on or off" - you can only KNOW (or not know) if the light is on or off. You can believe it is on, or not believe it is on, or believe it is off, but you cannot believe that it's both on or off (ignoring Schroedingers experiments for now :) )
I think what you mean is - "That's because I don't know if a god(s) exists or not" - In this case, it is a statement of knowledge, not belief - i.e. Agnosticism.
Or maybe you mean "That's because I don't have an opinion on whether or not a god exists or not" (Not meaning to put words in your mouth, just trying to understand what you mean). If this is what you mean, then would I be correct in assuming that you have no belief that a god exists? If so then you are not a theist. If so, then you are by definition an atheist.
You may counter with "Yes, I have no belief that a god exists, but I also have no belief that a god does not exist", but this would still leave you as an atheist due to the first part of your sentence "I have no belief that a god exists". If there was a word for 'belief that a god does not exist' (maybe there is one, I do not know) then you would be an a-that as well.
Poppycock. You can believe in one or more deities and still pray to none.
Yes, and you'd be a theist. However, without contradicting oneself, can you pray to a god without believing that one exists?
I mean, sure, you could say the words of prayer, but if you don't believe there is a god, you aren't *really* praying.