The TBE is from a bent main shaft or bent feathering shaft,maybe even a bad tail rotor motor or bent shaft on it. etc. likely.
You're experiencing, other than those symptoms, normal stuff.
I'd get the shaking/TBE taken care of then do this :
Don't worry about doing any forward flight until you can hover out a whole battery pack keeping the heli right in front of you with no more than a couple feet difference.
Then start working on forward flight basics, nose-in,etc. Doug