I might add, that in the case of the OP, I dont think hes got a design
issue, but either an install, or charge issue.
IF the guy that installed the outdoor unit didnt chck to see if the evap
coil was mated, or had a correct metering device for the new unit, nothings
really gonna help that issue till the evap issue is corrected.
Good money in this case, since no one can tell over the internet, and Daves
advice of checking delta T is NOT a great way to tell if you have a charge,
or an installation issue, would be on a bad charge....more than likely, if
anything, its slightly undercharged, and simply can not keep up the demand
with a higher load.
But...again...thats pure speculation.
Here is what I am fighting with the maint dept over (all different
degrees of HVAC certifications).

#1 - When the outside unit was changed the evap coils were not (they
simply do not change them in any units in the 5 years I have been here)
yet this complex is 30 years old as was the now defunct unit.
#2 - the HIGH SIDE (small tube) is not even hardly warm but the upstairs
unit is.
#3 - the compressor when running has beads of condensation on top of the
unit (as well as the normal sweat).
#4 - Its a 2 ton unit and this apartment is 1540sq ft (1400sqft livable
space...thats minus the master closet that is sealed and the sealed
utility storage room)

What can I tell these guys to make them make this right?

Btw: Thanks for all of this help.