The above are correct. Your stat allocations are tracked separately per class, and easily resettable post-50.

If you're wondering where to put them, every class (barring Arcanist) has a singular focal attribute - gladiator and marauder want VIT, pugilist and lancer want STR, archer and rogue want DEX, thaumaturge wants INT, and conjurer wants MND. A safe bet for these classes is to just put all 30 stat points you'll receive into the focal attribute. There are occasionally exceptions (eg Marauders may want to mix in some STR), but generally this is the easiest way to go about things.

The only shared bonus points are to Arcanist - which is simply "shared" because it post-30 it can be either the DPS Summoner, or the Healer Scholar - or both - but they're both 'advancements' of the Arcanist class, and thus share the Arcanist's level, base skills, and stat allocations. If you plan to do Arcanist, you can distribute according to your plans. If you plan to Summoner only, do INT; if you plan to Scholar only, do MND; if you want to be able to switch, do half and half.