What’s wrong with my car!!!

I bought this car used a week ago, I notice when
it’s really cold I get two orange cars with a star
in the middle, that eventually goes away when it
warms but today I stopped at a red light and the
car turned off but it still had its electric going. It
beeped when it did this. While off I got the
power steering symbol and i couldn’t hardly
move the steering wheel. I was able to put my
foot on the break and hit start and it turned back
on as if nothing happened. No dash  warning
lights. Any idea why this happens? I afraid to
drive now since I drive over an hour to and from
work daily.