Is this insulation in my HVAC installed correctly?
I don’t like internal insulation for several reasons the first is because if not foil faced it holds dust and can be a home for mold.
With that said it looks ok to me fiberglass and rock wool will not be affected by moisture (degraded other than reducing the insulation value).
Looking at the photo a very neat job was done on the outside blanket. the inside looks ok but it is hard to tell the orientation I would never insulate the bottom of the air handler with an AC coil in there but it’s hard to tell although it looks like it is attached not flopping around so other than my personal preference not to insulate inside ducts it is probably fine from what I see.