I am a new driver and have been driving only for a week.

Yesterday, I did not dis-engage my hand brake completely before I started to drive.

Because the car started moving as it normally would, I did not realize the hand brake was still partially engaged.

I heard a beeping sound in my car but couldn't figure out reason because I did not see a warning light/symbol flash.

It was 3.5 mile drive from work to home. I went at the speed of 25 mph for the most part. However, during the last 10 minutes of the drive I went at 35 mph. That is when I started feeling some resistance and a distinct burning smell in the car. I reached home safely and then realized it was the handbrake.

I started the car again today and everything appears to be working fine.

However, I am very worried that I have damaged the car. What damage could have occurred in this scenario?

What are a few signs that I should look for to make sure my back wheels and brakes are functioning correctly.

Thank you!!