3 The claim that the universe must have been a black hole. While it is generally claimed the universe had some initial singularity, as I had mentioned in some other thread, the BB signularity is a fundamentally different singularity than that in your typical black hole. Also to boot, the properties of physics themselves as well as the strengths of the 4 forces were very different in the early universe (and yes not all of that is theoretical. Particle accelerators have verified that as we get to higher energy levels the behaviors of forces do change, for example, the weak nuclear force and the electromagnetic force couple into the electro-weak force. At even higher temperatures [which we haven't reached yet so this is not yet verified directly] the strong force joins in, and then eventually at the instants of creation so does gravity). Again also it does not take into account the inflationary Big Bang in which quantum fluctuations essentially turn the gravitational field from what is classified as a tensor field into a scalar field and cause immediate exponential expansion until freezing out and returning to normal.
As I said, all this is well documented and a bit of research from credible sources will show it.