A brief look shows a couple of issues with various objects.
The cushions in the LOVESEAT group are duplicated - there are 4 when it looks like there should only be 2.
A number of the objects are (or at least think they are) passing sub-object selections up the stack when they probably shouldn't be. You can tell because there are vertex/edge/polygon symbols to the side of the modifiers in the stack.
At least one (Chamferbox58) not only has a sub-object selection but that selection is a Soft Selection. May be intentional, may not. You'll have to check that yourself.
The basic cause of your polys not
showing as selected (if you look closely at the bottom of the Selection Rollout it tells you how many are selected) is because you're activating a Modifier part way down the stack but you have Show End Result turned on. That shows the fully evaluated stack and your selection is not in the top most modifier so it isn't displayed. Turn Show End Result off and you'll see them.
Max 2016 (SP1/EXT1)
Win7Pro x64 (SP1). i5-3570K @ 4.4GHz, 8Gb Ram, DX11.
nVidia GTX760 (2GB) (Driver 430.86).