Interesting points, however the idea that you do get some BaSO4 dissolving during the washing process might only come in discussion as to why you have an answer that is less than the actual literature value. Even in last years unit 3 exam, when the solubility was given, it was not taken into account during the calculation stage. One thing to be careful with, from last years VCAA exam, is the throw away comments that some compounds are always completely soluble (Nitrates, Alkali ions). These compounds are more soluble than others, but rehashed facts like all / completely soluble are unaccepted.
Here are a few other good comparisons for other analytical techniques:
Grav A - Cheap, easy to perform in a lab, in-expensive, quiet accurate, but needs to form a precipitate
Volu A- Cheap, easy to perform in a lab, back titrations can detect quiet low concentrations.
HPLC - moderate cost, pretty quick qualitative + quantitative
GC - moderate cost qualitative + quantitative
AAS - very low concentrations, qualitative + quantitative
UV-Vis - qualitative + quantitative
IR, NMR - qualitative only, pretty expensive.
It is good to know what EM radiation is used in each form of spectroscopy and what absorbs it:
IR - Infra-red absorbed by changing the vibration energies of bonds / molecules
UV-Vis - UV-Vis absorbed by valence electrons in molecules
AAS - (UV) visible absorbed by valence electrons in metal ions.
NMR - radio-waves absorbed by nuclei changing spin to be in resonance with the magnetic field
Also you should know what materials can be tested in each type of analysis:
HPLC - soluble organic compounds
GC - volatile organic compounds (b.p. ~0-300oC
AAS - metal ions
UV-Vis - coloured compounds
IR / NMR - organic compound structure