It sounds like you are saying that our mere existence is evidence of a designer and this makes it a warranted assumption. How does our existence prove a designer exactly? It does not. The only thing our existence proves is that we exist. Nothing more.
Wrong. The nature of existence is such that it, all that we know of it, is subject to decay. It gains and it losses its properties. All that we know of existence is that all items are contingent on thier individual existence to that of something else. So on and so forth
these characteristics would not be consistent with an infinite universe, unless it could be demonstrated that some properties do not fall into that category, correct
Therefore existence itself attests to the fact of a designer and one that that would himself be contingent on nothing
I find your "logic" as well as your evidence to be lacking.
Where is this "decay" you refer to? Is this entropy, or is this a result of "the fall?" If the latter, you should realize that "the fall" is a religious myth, not something substantiated by empirical evidence. If the former, dealing with the 2nd law of thermodynamics, that does not apply to the degree you would have it do so in an open system, that is, one obtaining energy from the outside.
The rest of your post is a catechism, not a scientifically reasoned or supported argument. You just left off the "Amen!" at the end.
Religious belief does not constitute scientific evidence, nor does it convey scientific knowledge.