I grew up with vermiculite (now rare due to most of it being contaminated (in the ground) with asbestos), moved on to fiberglass, and am now a blown-cellulose convert.
They all work, for various values of "work."
Cellulose is inexpensive, gets MORE effective when cold, and blocks airflow well enough that a vapor barrier is (possibly) optional according to some researchers. It's dusty during install, but otherwise innocuous. I'd suggest getting a bale from each supplier (or each different brand from suppliers) and inspecting it - or from the supplier you'd go with on a cost basis (first) and if that fails your inspection, from others. I found the sample I got from a major home improvement chain was contaminated with a lot of scrap plastic; as it turns out, not only were the bales from my local home improvement non-chain cheaper per pound, they were also good clean cellulose with no plastic scraps.
Fiberglass compares well at 70F (where R values are measured) but gets quite terrible at -20F, just when you want it working hardest. It's far more prone to air movement (whether in batts, where seams are are a problem or as loose-fill.) Plus there's that whole scratchy thing going on with glass fibers.
According to "belt and suspenders" thinking and "it's cheap enough" my cellulose is sitting on top of a vapor barrier. One more way to stop air movement. Since your climate is primarily heating, your vapor barrier goes on the inside (generally, the "warm" side - complicated in climates where heating and cooling are similar.)
If you are not using the space beyond the wall, insulate the wall (and perhaps add some furring strips to get more insulation on the wall where there is room.) If you insulate the roof, you need to provide cold air channels against the roof surface to vent the roof appropriately (though with that steep of an edge, it might be difficult to get a serious ice dam, which is what roof venting/cold roof design is trying to prevent.)
Since you are gutting it, you may also want to furr out the endwall to make it thicker and give you more space for insulation, since you won't get a lot of R-value with any insulation in the space available. Alternately, and at higher cost, you could sandwich a layer of sheet-foam type insulation over the studs and under the drywall on that wall.
Generally you will also want at least a few cans of polyurethane spray foam. While you can do all your insulating with spray-foam, it's very expensive, relative to other kinds of insulation. But it's great for sealing irregular cracks and crevices.
You're pretty much right. Having potential airflow between the insulation and the drywall does hamper the effectiveness of the insulation. Likewise, having the fiberglass exposed allows more airflow through it, which also impacts its effectiveness.
Now, the air in attics tends to be relatively still (except when that attic fan of yours is running, of course), so neither factor renders the insulation completely useless (after all, we regularly use loose fill insulation in attics), but it does mean the actual R value of the assembly is quite a bit lower than the rating on the fiberglass batts.
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If your insurance adjuster is fair, He/she will cover the costs of removing all damaged materials and replace them. In fact, water soaked insulation and drywall cannot be dried out and salvaged. This will be a mold factory soon. The sooner you remove this stuff and expose the framing, the lesser the chance of growing mold on the framing. If the framing is already showing mold, it will have to be remediated and treated before proceeding. This should be done professionally. It is not an easy DIY project and if not done properly will cause more problems in the future.