I was 4'11" at 16 years of age close to 17 in fact, by a year later I was 5'10", converting the growth to metric that's over 25 centimetres gain in a year. Delayed growth happens for a number of reasons and there is one glowing red flag that suggests how you may be doing this.
You will hate this, my son does and he's younger than you. You are not an adult and have to stop setting yourself goals that should only be pursued as one. Your desire to burn pretty much any body fat is something many your age seek because the magazines show the deep cut six pack as part of every perfect physique. Having this while growing will delay growth and sexual development, along with the natural testosterone release that will enable you to build muscle faster. Growth requires energy and the growing like a weed scenario I described uses masses of it, this is why pubescent teen males gain muscle and become leaner if keeping their diet constant. If the energy isn't there the body will wait until it is, there is no point burning survival energy developing to sexual maturity if doing so will stop you living long enough to breed, crude maybe but that is what puberty is about.
I am not saying change from stick insect to whale but accept a safe for 14 year old level of body fat, get the pretty six pack when you are fully grown. As someone who had one for years as an adult I can say that they aren't that impressive for functional fitness, there is also the unavoidable fact that most of the time this is covered up with clothing, so less lean more obviously muscular guys get noticed more easily.
There is no perfect way to know if your growth plates are already damaged without medical scans. A simpler way to find out if you have permanently stunted growth is to know if you have grown since doing the higher impact work (working on it being a year ago). If so you haven't if not you may have but in fairness it's unlikely even then.
HIIT, always a good idea for anyone wanting to improve fitness. Go for it
Plyometrics and body weight work is an area where you have to think hard about how even the workouts are. Push ups work the triceps, shoulders, chest and postural muscles including core hard. Chins work the biceps and back hard with some postural chain. However squats with bodyweight are very easy, meaning that it becomes more difficult to train the whole body at similar intensity all over. Even tuck jumps etc. leave many out of breath before the legs tire. JustinJVA usually pops in at around this time with a list of bodyweight exercises that may help here.
I will demonstrate how easy this unbalanced training tends to happen. I would bet good money you work your abs far harder than your lower back, doing crunches, sit ups etc. but not many hyperextensions and the like. If you consider that lower back problems are the most common physical ailment in the world today it doesn't take much to realise this is ill advised.
Core work as isolation is something I haven't done in years, when doing squats (especially overhead), deadlift etc. the core gets hammered without it.
Core work shouldn't stunt your growth but uneven core work will give you many years of pain if maintained for too long. I have been training long enough to know many seasoned uneven trainers who will either realise this if smart or be totally confused when not.
High impact work has to be moderated for anyone especially while still growing. Spread it over more days if needed to ensure that the body can recover fully, that way you get the training and height that I expect will help in this activity, if your genetics are set to let you.