I have pretty much the same problem, a bit aggravated as everything on my right side is starting to hurt - damned be old age!
There is only one thing you can do: Take your time, make sure the technique is correct (we all know how weakness influences that) and train more on the left, more reps on the slow focused kinds of kicks and punches. OK, that was 2 things....
Also, make sure you have the necessary core strength. Hard to believe how a set of kicks can go to your abs....