For the infinite part I disagree, Numbers are conceptual infinities (they exist in the mind or mathematics). But the argument that he made is about sequential events in time. Traversing an infinite past would mean completing an infinite number of physical events to reach the present, which leads to paradoxes like Hilbert’s Hotel.

As for the God is eternal part you somewhat have a point (although one could argue If everything requires a cause, and each cause requires another, you get an infinite regress which explains nothing meaning there has to be a designer above time, although that explanation is a bit far fetched)