Is your car an automatic or manual.
An "E-Brake" is really just a Parking Brake (which most people don't even use anyways).
If your car is an automatic, the trans has a parking pawl that locks it in park. I wouldn't worry about it.
If your car is a manual, and you live in a very flat part of Texas, I wouldn't worry about it either.
I live in a mountainous region, and I only use my parking brake if I'm on a really steep incline on my Scout II. I also use a block on a tire.
A parking brake is only to keep the rig from moving if it "pops" out of gear.
RGL Motorsports #129
1981 Coupe - Under Construction = C Prepared build