Ruling 'near to' as wrong might be grammatically correct (I don't know), but it is a phrase people say incredibly frequently. If it's not accepted now, it will be in 50 years. We should just get on with it.
In a previous sentence 'i am walking through your home' the 'your home' part was in nominitive, explained as being so because dom is mas. inanimate. Not here though.
"przez" (through) takes Accusative and that was Accusative that just looked identical to Nominative, because that's how Accusative of masculine nouns works - the animate ones look like Genitive, the inanimate ones look like Nominative.
Here, "blisko" takes Genitive... well, and that's it :)