Hi Jackie,
I had runner's knee in 2009 so I know how annoying and painful it can be! For core strength training I do Pilates twice a week and weights workout 3 times a week (squats & deadlifts play a big part in those). I really like kettlebells for strengthening the posterior chain, but try a few different workouts and see what works for you.
Don't forget to stretch too! There are some good yoga for runners classes and books around, from which you put a good stretch routine together and do it every day - not just the days you are running.
I love boxing but I wouldn't necessarily recommend it to someone as a fix for recent knee problems as I found that getting used to the stance can be quite hard on the legs. Once you are confident that your knee is settled down then I see no reason not to give it a go!