The cover should come out easily with little effort.
You can simply pinch the paper and the joints should easily rip off. As you do this, avoid ripping off the entire flap.
If you put the toilet seat on backward, that’s okay! It really doesn’t matter, as long as the toilet seat is covered.
When you are in a bathroom with multiple stalls, feel free to look at a few and go with the cleanest one. You can base your decision on overall cleanliness and personal opinion.
In these cases, toilet seat covers work well as another layer of defense against bacteria.
Disposable toilet seat covers can be wasteful and harmful for the environment, so try to limit how often you use them.