I have rowed nearly every day and competed for eight years. I started paddling surfskis about one year ago and competed in three races last Fall.
Both are very low impact sports if you compare them to running but you can still injure yourself pretty severely if you're not careful and if you don't listen to your body. Most are over use injuries.
On the other hand neither of these sports are weight bearing and some impact and weight bearing activities should be part of your routein.
Rowing is generally hard on your lower back and paddling, because it tightens your core, tends to prevent lower back issues. So far, it's working for me.
I've had sore shoulders, injured shoulders, injured biceps tendons, had MRIs of my shoulders and lower back (my lower back MRI looks like a train wreck but I, very luckily, have no symptoms), done rotator cuff exercises, etc., etc.
Right now at age 70 I am pretty much injury free and am planning on 2014 being a good competitive year for me in rowing and in paddling although I am a slow paddler and usually near the back of the pack.
I row 6500m/day and try to paddle about 8000m/day as I have the time to do it since I am retired.
I know I must listen to my body and take days off, or train more carefully, when I feel some stress or strain coming on. If you're going to be very active and train pretty hard no matter your age you're going to have pain and/or soreness in some part of your body a good share of the time. You just have to manage it. The older you get the more injury prone you become. The alternative is to get fat and park yourself on a couch eating Bon Bons.
current skis: SES Ultra. sculling boats: Fluidesign Lwt, Wintech, Empacher.