Quelling is vital to any good blm. If you are putting out good numbers you will take hate. Raging obviously too, will help you put out said numbers.

The other two are still good support but I would argue are not as important, are Eye for an Eye and Virus. Neither are real gamechangers, but can just make things a little easier for the healers. Bear in mind cross-classed untraited virus is weaker, so you don't want to use when the stronger version will be needed <1 min. Tends to be used more on adds than a main boss.

Lastly I think I have physick, extremely narrow usage (so weak on blm, any time you need to heal yourself outside of solo content you are nearly always wiser to just try and kill the mob faster than heal thru it). are a handful of times a boss jumps and you have literally nothing else to do so can throw out a physic.