You can also drench with an Azadirachtin-containing product such as Aza-Sol or Molt-X.   Azadirachtin is the true extract from Neem seed.  Do not substitute with Neem seed oil, even if the word "extract" is included in the oil product's name.

If the 20% Potassium fertilizer, mentioned above, is fast release, it is all gone after 6 inches of rain.

Both the posters' pictures probably show deficiencies of Potassium and some other elements, probably including Magnesium deficiency.  This can be from lack of these in the soil, or because of inability of the plant to absorb them, due to root problems, such as nematode attack.

The green spots on the new growth look like what often happens from nutritional sprays.

No.   Lots of attempts.

Careful....

A clonal embryo in a polyembryonic seed is an exact genetic copy of the maternal parent, which is the tree that bore the fruit in which the seed was found.

A zygotic embryo in a polyembryonic seed is a mix of the maternal parent (seed parent, which provided the ovule) and the paternal parent (which provided the pollen for "plant sex").

There is no such thing as "The Original parent", except as refering to the seed parent, in the case of a clonal embryo ("on-type").  Otherwise, it is "the parents" or "the grandparents" ....

People do get confused, because the word "clone" is often used instead of "variety";  and "clonal propagation" is sometimes said instead of "vegetative propagation."

The trunk does look scratched by cats, etc.  If it seems to be on-going, applying stinky sprays to trunk and soil might stop it.  Spraying trunk with fungicides might give it a better chance to heal.

The leaves are deficient in pretty much everything, due to root starvation, from the downward movement of the sap through the phloem having been interrupted by the bark damage.

"Bark graft" is technical jargon;  it does not imply that anyone is trying to get a graft to take on top of bark.

I haven't seen any fruiting-size tree of 'Guava' mango.

The others you mentioned have normal, medium vigor and all the usual canopy shape.

Little Gem, not little jim.

The initial evaluation of the Phoenix tree by Gary Zill was unfavorable, so he chain-sawed it off near ground level.  From there it grew again and fruited. 
Then he liked it a lot!

Probably Mango Bacterial Black Spot

Spray with Copper and other anti-bacterials

Probably deficiencies of Copper and Zinc.

Please photograph again when the leaves harden up.

It would probably stiffen up with less Nitrogen, and more Copper, Calcium, and soluble Silicate.

Probably deficiency of Boron and Calcium.