The answer to this question really depends on the theater. In a gigantic, cavernous theater like the Marquis, then sitting near the back can make you feel as if you need opera glasses. But in a smaller theater, you can be on the back row and not feel like you are missing anything.
I've been seated all over when I've seen Broadway shows. The best seats are at least 4 or 5 rows back in the center up to about the 12th row. Most seats in the front mezzanine (up to 6 or so rows back) are also quite good.
I sat near the back of the Orchestra to see Hair (about 3 rows from the back of the theater) and thought my seats were just fine. The only place I don't like to sit is on the first row or the far left or far right (I have regular seats on the right near the front for Roundabout productions, and while I don't particularly like being on the far-right, the closeness to the stage does help to make up the difference).
Not sure that helps. The Richard Rodgers is a pretty big theater, but Row A is not the first row, it's the second. So you may be ok. But at your height, the nearness to the stage may be an advantage rather than a disadvantage. You might very well have trouble seeing over the people in front of you. Here, at least, you will be looking directly up to the stage.
