Sometimes adding too much refrigerant is a problem, too.
I know it is counter-intuitive, but an overcharged system does not cool as well. Please let me explain. Refrigerant is merely the carrier of heat. It absorbs heat in the indoor "evaporator" coil and moves it to the outside "condenser" coil where it is less objectionable.
Adding too much refrigerant raises the pressures of the system, and with increased pressures come increased temperatures. Simply put if the low-side "indoor" pressure is 70 PSI, the indoor coil is 41 F (for an R-22 system). That same system if overcharged may have 80 PSI on the lowside, and the coil is now 48 F.
There is sensible and latent heat. Part of what the air conditioner does is remove latent heat (humidity), which goes out the condensate drain. Colder coils work better at reducing humidity provided they do not freeze the coil into a block of ice, which may happen with reduced airflow or low refrigerant charge.
**********************
Other factors play a huge role, too other than charge.
Is your indoor air filter clean?
You should not use a higher quality pleated filter because they reduce air flow. Typically apartments provide cheap filters, so I doubt that is an issue.
Is the evaporator coil clean? Did the technician clean the condenser "outdoor" coil?
****
As for your backlight, the fix for that would most likley be to have your HVAC technician replace your thermostat.