The E-brake is a DRUM brake system.
This is separate from our DISC brake system on the 4-wheels.
Your DISC brakes could "go out" and you should be able to slow and stop the car with the E-brake.
Like KNLNGUS said, it may need adjusting.
To further KNLNGUS, I would also pull off the rear rotors and check to see if there is any meat still on the pads.
Changing is relatively easy, about a 2hr job - if you haven't done them before.
ASIDE: Acura wanted to charge me over $350 CDN to get this done.
Told them I'd do it my self. Parts are pretty cheap - less than $100 if memory serves. 
This is separate from our DISC brake system on the 4-wheels.
Your DISC brakes could "go out" and you should be able to slow and stop the car with the E-brake.
Like KNLNGUS said, it may need adjusting.
To further KNLNGUS, I would also pull off the rear rotors and check to see if there is any meat still on the pads.
Changing is relatively easy, about a 2hr job - if you haven't done them before.
ASIDE: Acura wanted to charge me over $350 CDN to get this done.