I'm in the stage of my class where we're talking about criticisms of the Bible and trying to defend against them. Two major ones that come to my mind are these:
1. The Bible is morally problematic. Objections here would deal with slavery, warfare, ethnic cleansing, gender roles, and homosexuality issues.
2. The Bible contradicts itself. This would deal with specific alleged contradictions.
Are there other objections or categories of objections that come to your mind?
Criticizing "the Bible" is only possible after we establish:
1. which Bible are we talking about?
2. what are you claiming about it?
Christians have had lots of Bibles, and have believed lots of different things about those Bibles.
You are a 21st century Reformed Christian so I assume you reject Luther's canon and accept the 66 books of the French Confession of 1559. And I assume you accept the doctrine of infallibility which didn't come along until after the Reformation.
These assumptions are nontrivial because it makes no sense to criticize your Bible's immorality and self-contradictions, unless you are claiming your particular Bible's books are perfect.
On the other hand if you claim these books were written and edited by fallible men for their own times and places, then many of the moral and logical complaints become silly. Every book from antiquity is morally repugnant to a reasonably educated modern person because we have made incredible moral progress these last 2 thousands years. Even books from 2
decades ago show signs of less evolved morality. On top of the moral issues every book has misconceptions, contradictions, and untruths. So what? The books still have cultural value even today, just like the Iliad. If Christians claimed the same things about the Iliad then the Iliad would get a lot more criticism from everyday people.
So it's not that everyone is criticizing the Bible as much as criticizing Christian claims about their Bibles. But I will play along. Now the criticisms you mentioned in the OP mostly have to do with your Bible's content. So in addition to Content, some other claims deserving criticism have to do with various Bible's:
1. Content - historical or moral truth (mentioned in the OP).
2. Composition - denial of forgeries and lies
3. Ontology - divine inspiration, that there is any better reason to think your books are perfect than any other books.
4. Selection of texts - that the selection process was early, correct, or possibly divinely inspired
6. Textual Editing
7. Purpose - that the authors had a modern audience in mind
8. Translations - being faithful to our earliest sources
9. Philosophical predicates - the idea that infallibility is possible or desirable in the first place. In my view it is neither.
Hopefully that helps to flesh out your list a bit more.