Throw out Hawkseye - BLM has the lowest ACC needed and that one isnt necessary if you dont raid underequipped. Only 4 of 6 cross skills are of any (if even just so small) use at all *sigh*
Anyways - when you get used to BLM and learn mechanics youll find out that you can cast a Thunder III between rotations without screwing up MP regeneration, depending how much MP you were left over at the end of your rotation - and yes, with that im saying letting UI III tick twice (aka 120% regeneration) isnt always the choice to go with, depending on situation and amount of dodging you have to do.
BLM is the simplest job in ARR when it comes to keybinds - all you really need is: Scathe, Blizz I & III, Fire I II and III, Flare, Swiftcast, Raging Strikes, Quelling Strikes, Manaward/wall, Convert, Transpose.
Stuff like: Sleep, Apocatastasis, Eye for an Eye, Freeze, Surecast, Lethargy (well this can be handy sometimes) and Virus are highly situational, just put them where you have access but dont take away valuable keys that you can reach quick
Oh and: Bind Aetherial Manipulation on your Mouse - Dodging with that saves you so much time - just don't use it on people you dont trust xD
Good luck and stuff tho - dont get too used to BLM 50 - its completely different at 60 so keep space for 5 more skills that you will use regularily ;3
P.S.: And no - do not EVER use Macros on BLM - Blizz I will be handy after a convert (casting Blizz I + Thunder I + Fire III is the same waste of over gcd time then Blizz III + Thunder I + Fire III after a Flare -> Convert) Not to mention the times you end up with just enough MP after a Blizz III to cast Blizzard I right after a MP tick at transition. Which would leave you standing for 2-3s doing nothing OR casting a Blizzard I ^^
WTF is this useless roation? >.>
If you want to make most use of raging strikes you go:
B1 > T1 > FIII > Raging > F1 + Procs > Convert > F1+Procs > B3 (you get at least 6x Fire I i.e. if you get 2 Procs you'll have spent the full time of Raging in Fire and made the most out of it)
Anything else is a huge DPS loss, the longer you keep spamming fire in Raging the more DPS you gain. And NO, Flare is the worst choice of an ST finisher you can ever take because the downtime in UI screws you over and you loose at least 3 more seconds until you will go back to Fire
Jesus... really