I got two answers is that okay? The question said to select each correct answer implying that there could be more than one.
inches per year - this could make sense as well because you could easily measure the number of inches a tree grew in a year.
millimeters per week- I suppose this makes sense how fast the specific tree grew. So, if you are alllowed to pick two answers I think you could make a strong case to your teacher that this unit has the potential to be logical rate unit for tree growth.
milliliters per minute - NO. I think that this would be an illogical rate unit to use for trees because their growth is so slow that it wouldn't change by a measurable amount in just a minuet.
miles per hour - NO. Trees do not grow fast enough for this to be a logical unit rate to use.