With the story jump potion you will get all the MS quests done, all the Teleport and Flying points (including riding skill and flying skills) and all the Dungeons/Trials (including Hard modes and side ones) unlocked.
I just checked on my Alt (used a skip book on him yesterday) - I didn't get any achievement points but I can buy from Calamity Vendor Scion Outfit, Alpine Coat, the Shield and a couple of other quest items, not too many though. I can make a screenshot of it, if you want.