I agree the Bible is full of errors, although I think it’s wrongheaded to read the Bible as though the authors were interested mainly in literal truth. Literal truth is for scientists. The Bible is a book of myths and wisdom teachings about the way things should be, not the way things actually are.
I think it’s a stretch to say Jesus supports science, since look what he tells Thomas: “Because you have seen me, you have believed; blessed are those who have not seen and yet have believed.” The point in that late Gospel of John is that physical proof thankfully doesn’t matter anymore, because eventually there was no such proof available. Nevertheless, those who believe in the absence of proof are blessed all the more.
The story is an encouragement to those who can have only faith, because they live in a time when all the direct evidence has been lost. In that story, Jesus supports blind faith over reasonable doubt.