symptoms of bad heatercore...wats all the things it can or will do to my car?

What is your question?

it overheats, has white smoke fruity smell at first then gets stronger , when i let it park overnight i can barely get it to start, after about 20 minutes of driving it, the front of my vehicle shakes/wiggles/bobbles, but if dosent seem to overheat if i drive and keep the heat on medium...but then the car starts to feel weirder, can all this be happening because of a bad heatercore?