Tamper = 58.55mm flat. I have a sharp edge Torr and love it. Would probably try a Bravo tamper if I were buying now as it is self-levelling.
No to pressure adjusting tampers, self-leveling yes (and if it is both then fine) but no point in paying for a pressurised tamper.
Leveller tools are ok but won’t help distribution significantly. They help consistency because they make it easier to tamp consistently. A cheap wdt tool will do both.
Get a tamp stand if you want one but they aren’t necessary.