Name the concerns and I’ll send the first right answer a copy of structural concerns for home inspectors.
No lip on the crown?
And?
Flues too close?
Nope. I think your going to learn something from this. That’s way I posted this, hopefully someone will get something from this.
Hmmm
What was the small flue serving?
Heating Flue
Was it too long?
Nope.
Lol I give up
Needs cap to extend out side the chimney and this needs a drip edge so water falls from cap and not onto the brick chimney .
What was the source o fuel?
Natural Gas
With your experience, I’m surprised your not seeing the obvious. 
The spark arrestor cap is not high enough?
Your looking right past something
Tiles to close together and different heights
Still needs a proper Cap too
I said too close already
Ice popsicles? Frozen rebar?