Replying to Subaru outback in snow question

I have a question about my 2003 subaru outback standard model. This winter, I've noticed it slipping way too easily in winter conditions. Now it's AWD, and i understand AWD doesn't make a car 100% perfect in snow, but the fact is it seems to be terrible in snow, and even with a tiny bit of snow on the ground. I already got into a fender bender going 1 MPH in a parking lot because the car would not stop. Just testing in a couple parking lots with about 2cm of snow today, the car would stop about 8 feet after i pressed the brake, and this was going about 10MPH. the brake would also kind of vibrate too. all in all, i've noticed it just slipping around and not being too good. note: i don't have snow tires on it.

so is this normal? is it possible i may just need new breaks? i'm hesitant on that because it's fine when there's no snow or anything.

any good advice or good info would be great. thanks.