Well, I mean- he did name his son after sirius. His first son was James Sirius- it'd be weird to have two of them

Dumbledore cared for Harry very much, he just learned to prioritize the safety of the entire world over one person, Snape on the other hand didn't care for Harry, he even told us himself, everything he did was for Lily he couldn't care less about Harry

Also, you might wanna change "was" to "were" because it doesn't sound right.

I agree, Hagrid cared about Harry. But I strongly disagree about the fact Snape did and Dumbledore didn't. Snape straight up bullied Harry and his friends, hated Harry just for the fact he was James' son, forgetting he was also Lily's, and just protected him because he messed up with Lily so he wanted to redeem himself for her sake, not Harry's. Dumbledore did care about Harry, it was hard for Albus to manipulate him. I must also remember that if Dumbledore didn't do anything, everybody would be dead by now. Like what washingmashine said, he couldn't let most of the world die just to save Harry.

Why would their child be named Hagrid? It's a surname. Frankly, Rubeus would make more sense.

Sorry but Dumbledore was the one who cared about Harry the most. And as for Snape...oh god...it's humanly impossible to say that he cared for Harry.

And Harry did name his son James Sirius.