Okay yeah screw the formatting. Rerolls seem to work since the last restart, at least for me.
For Imps, do Barri normal, I get about 18 per run.
For Ogres, Barri Normal again, there's 5 of them as the boss.
For Golems, use The Other Alchemists in Tara on Basic, they have low HP (for Golems).
Cave Sahagins show up in the witch's cave normally, you don't need to be in a Lord mission.
Daily missions are to rank up a skill (and it says skill), weekly missions are to rank up a talent (and it doesn't say skill).