Check your reference. Einstein did in fact believe in God, just not the anthropomorphic god promoted by many religions.
Nope. "He clarified however that, "I am not an atheist",[4] preferring to call himself an agnostic,[5] or a "religious nonbeliever."[6]"
And "believe in God" =! Agnostic, Agnostic means ins this respect: I can / will not decide, if there is a god, many gods or no one.
It's a fundamental error to conflate science with the existence or non existence of God.
Nope. Everybody who is stating, that there is something like a god has to bring proof.
This can be done. [Edit] In the sense: "For epistemic reasions. Falsifiability, Karl Popper wrote about that." [/Edit]
The claim "God is not existing." cannot be proofed for epistemic reasons.
Many excellent scientists believe in God and many do not. They are not mutually exclusuve. The existence or non-existence of God is not a testable hypothesis and therefore not in the realm of science.
Wrong. If god is existing: bring here some proof.
If you can't, then see, what Occam's Razor is saying in this respect.
https://en.wikipedia.org/wiki/Occam%27s_razorAnd the fact, that a lot of scientists believe in something like "existance of god" is their choice. Nothing more and it is not a proof for the existing of god.