Thanks so much for taking the time to share the pictures of your ds's copywork - that is so helpful! Handwriting is often not a boy's favorite thing, but you are wise to help him continue developing this skill. I have a few ideas you can try, but first off - your ds's handwriting is actually quite neat. His tall letters are tall, his spacing between words is large enough, and his writing is quite steady and neat. So, hooray for those things!
When first learning to do copywork, dc often make mistakes. For this reason, I'd switch to having him use a pencil, as mistakes can be easily erased. The final product of copywork is to be 'perfect', and crossed out words in pen just remind dc of their errors. I know many dc prefer using pens, but for copywork especially, pencils are better as the final product will look neater and the incorrect spellings or grammatical errors will be "erased" from dc's memories. It all works together to help dc recognize what "looks right", as Charlotte Mason would say.

You may want to try using blank paper for notebooking, as dc can form their letters the size that feels best to them for their stage of writing. One of my sons wanted lines to help him write straighter, so I let him use a ruler to draw the lines with the spacing he desired. Eventually, he wrote straightly without the lines. If you give blank paper a try and ds still prefers the lines already be provided, you can always go back to that too.
When my dc began copywork, they made errors too. A few things helped. First, sectioning off the Bible portion (or whatever resource is being copied from) with sticky notes (one on top and one on bottom of the paragraph to be copied), helped them see clearly the portion to be copied. I think I'd try to have ds still copy from his own Bible, as it will have him being responsible for both the looking up of the verses in his Bible himself while also using his own Bible to copy verses from. I just think it's a personal bonding with one's Bible, and also it makes it more natural for dc to use their own Bibles to look up and copy favorite verses from on their own someday.

Second, sitting near them and having them check word by word, punctuation mark by punctuation mark, one sentence at a time, helped them discover errors. I showed them how to put one finger under the word in the resource, and one finger under the matching word in their copywork, to check if they matched exactly. They could not go on to the second sentence until the first was right. They were responsible for finding the errors, but I sat near them and helped as needed. If they still missed an error this way, I'd say, "There's still one word misspelled. Let's see if you can find it!" Or, "There's still a missing comma. Can you find where it should be?"
Eventually, they do the copywork independently, and then they may rarely need a reminder to check it over for a misspelled word or missing punctuation mark. You will be amazed at how much your ds grows in this skill this year! Soon, this will be a more independent skill, but for now, I'd look at this time as a time to train him to check for accuracy using the correct model provided in the resource. He will get better and better at it, and it will give him the beginning skills of learning to proofread his own writing for accuracy. He's doing a lot right, so just partner with him on this, and it will keep on improving!

HTH!
In Christ,
Julie