Old Smokey,
OK, I now understand what you are saying. As you say, Lift isn't changing, so if Drag is increasing then the glide angle is changing (inreasing). A couple of additional points: since Lift equals W times cos (glide angle), if the angle changes, then the lift will change slightly. But this is a small affect since the cos of a small angle is approx equal to one, and small changes will not be significant.
I hadn't thought much about EAS. As you point out, it is a small affect. The affect is even smaller at lower speeds (say 250 kts).
I need to think a little more about your third point relating to dcereasing kinetic energy.
Regards,
flybubba