Look like decorative key holes to me.
All old mirrors are not beveled. Especially curved glass as it is much more labor intensive. Just like all antique furniture is not solid wood. Veneer has been around a v long time. I've seen plenty of antique furniture that is solid wood with veneers over the solid wood.
It doesn't look that old to me from the pics. Whether it's 40 years old old or 140 years old, I'd put a price on it of $250-$350.
Nice thing about buying used furniture like this is the buyer usually doesn't get taken and can usually turn it for about the same price. The only way you get taken is if someone sells it as something more than it is.
Good, real antique furniture doesn't warrant high costs. Unless it's something really special. Antique Stickley or something w a highly regarded name. Go into an antiques store and look around, a chest like what the OP put up, anywhere from $200-$500.
The antique that was linked at eBay, I wouldn't give more than $700, maybe 8 if I saw it first. What's sad about that is, it's built way better than anything new that's twice the price.
Don't go crazy on spending money for furniture antiques and you'll do all right.
Craigslist is a good place to do comparative shopping as well as any local antique store.