1300 is a player who no longer makes stupid blunders, like aimlessly exchanging a rook for a bishop, and who recognizes some immediate opportunities to pin/skewer/whatever. At 1700, you're a solid tournament level player. Still a casual hobbyist at that point, but one who seriously played a lot of chess. 2000 is a top tournament player at anything up to state level tournaments. 2200 is a serious non-casual player with Master aspirations. 2400 is competing to be an IM. So I would say your rating are pretty close to what I've seen.
People do say that it isn't possible for casuals to hit 2000. They also say that if you haven't started playing chess in your childhood, then you probably will never hit 2000. I think both of those statements are generally true, but not inherently so. What I mean is, if you haven't played for long, or if you only play occasionally with a friend, then it will be difficult to become a good chess player. But it is all about time and effort. I have an acquaintance who developed an interest in chess a year ago, and he's already playing in tournaments at around 1700 level. The guy became obsessed, obviously. He would read chess books, spent hours each day playing people online and off, bought computer programs to help him practice tactical situations and long term strategies, etc. I heard of even more impressive results. I remember reading a book by some chess GM (forgot which), and he coached a kid who increased his rating by more than 1000 in about 18 months. So it is possible, but realistically speaking, if you're not that into it, you won't be great at it.
