I've never had any problem with goods damaged on arrival at Amazon, nor arrival at buyers home. I've had a half-dozen items lost or damaged while in warehouse at Amazon, and I believe in most cases, got NO proactive report or payment from Amazon. Usually going over my books, I would discover, "hey... I sent in 6 of those... they sold 2... now I have only 3?" I'd have to discover the problem, initiate the claim, and only then would get reimbursed... sometimes at a fair rate... sometimes a little less than fair (but whadaya gonna do?). So you definitely have to check and recheck your inventory at Amazon, keep track of what's sold, and what they should have... stay on top of things.
Do not ship in items before they reach the sell price you can accept. I usually find that when I see an FBA price point I like, I send my items in, and 3 more sellers move in at the same time, and the price drops 5%. As the holiday season approaches, more sellers will be moving merch into Amazon and you can expect more competition on some items. I use Amazon principally for current or "just retired" sets. My Haunted Houses, Town Halls, etc, I sell on eBay (and Brickclassifieds).