Pulls to the right?

This would most likely be a power steering pump issue but I am not sure I completely understand what is happening. I get that the steering is pulling when accelerating but does this do it while driving straight? Meaning the vehicle is driving straight and between 30-40 you feel a sudden jerk to one side or does it start pulling?

I think if you can get a video of this that would really help get us on the same page.

Here is a guide that will help with general power steering issues but depending on the video, this may be a suspension issue. Especially since it started after hitting rough patch of road.

https://www.2carpros.com/articles/power-steering-problems

Let's try for the video and we can go decide what to do next. Thanks

Okay, that helps. We can check the CV axle and control arm. If it were the bearing grabbing like this, it would most certainly be making noise so I would think the other two first.

Here is a guide on a CV axle:

https://www.2carpros.com/articles/how-a-cv-joint-works

The control arm we can check by lifting the tire off the ground and grab the tire at 12 and 6 o'clock and push and pull with opposite hands in and out of the tire. It should feel real tight. If it feels like it has play in it then the ball joint is the issue.

The odd thing with any of this is that these things normally don't cause an issue only at a certain speed. Does this do this every time when reaching this speed?

The shaking is likely due to a bent wheel if that started right after hitting something, but it can also be caused by a broken belt in a tire. When the belt is just starting to come apart, it can cause a pull to one side.

You need to be more specific about the brakes "not working". Did the brake pedal go all the way down to the floor? Was it high and hard like normal but the car just didn't stop?

Your car doesn't use an idler arm. The lower control arm could be bent causing the pull but it won't cause a shaking in the steering wheel.

The brakes had water on the linings. Normally disc brake pads scrape water off but you have to use them occasionally to keep them dry. Even if that brake fade does occur, the rear drum brakes should have slowed the car down. Those only do about 20 percent of the stopping but that should be enough to stop.