Someone has a pesky jab. Not quite mean yet. If you were the one in the black sparring I have 1 suggestion. based on what I could see on my phone.
Don't move backwards when you jab. This makes your job very weak. Move your body forward with the jab and your jab will be feared. Move an inch forward and even your soft jabs will have power. If you know your jab will land then just move forward with it. You can also do something similar moving backwards, but that's a difficult technique to get down to where it works. Sort of a flat foot technique