If technique is something important to you, then I would make sure that he/she teaches you to lift like the majority of elite lifters in elite competition (i.e. Euro, Worlds, Olympics, etc.). I would study those videos and compare them to his or her advanced lifters or your own lifting.
The short cut through all of this is if a coach ever tells you to shrug up, shrug the bar, pull the bar high and shrug, jump and shrug, or some variant of that, walk away. If the coach makes you start way over the bar with your hips so high that your torso is almost parallel to the floor, walk away.
As for programming, a coach should be able to explain why a movement is in the program. Nothing should be there 'just because.'