With regards to point 4, the 99 names of Allah supports this. It's very precise on which parts Allah is powerful at, e.g. The Creator, The Raiser of the Dead. There is still omnipotence, just not infinitely so.
Also if you look at wording, it's things like "Most Merciful" rather than infinitely merciful.
Also if you look at wording, it's things like "Most Merciful" rather than infinitely merciful.