If you mean a sealed up drop-in, often no further balancing is even possible, no access to individual cell wires or even voltages, just trust and send it back when something goes wrong.
But easy on C-rates the first couple months helps with longevity
and getting a SoH benchmark for 100% capacity at the pack level will help as a diagnostic later.
Yes, a powerful enough lab-style adjustable PSU for 1S voltage charging in parallel is ideal.
Some "hobby" chargers can be adapted to do so.
Just sitting in parallel is very slow as V gets closer and closer, but pushing up to 3.6V or the vendor spec max voltage should be the final step below that.
Yes not healthy to go past that, IMO just holding CV until current drops to zero, is too much, even past 0.03C or so, better to stop before that.
Becomes your definition of "vendor Full", used for benchmarking.
Different from the gentler 100% Full defined for normal usage cycling, resetting BMV.
For that the minimum required for getting BMS to do balancing will often be the main factor, that can take days sometimes.