Giving an eye just for finishing a combo makes it a bit too easy to enter LotD if I'm being honest. If that were the case you could just pop Jump and Spineshatter Dive, do a couple combos and boom! The timer on Botd is very generous, so it doesn't make sense for you to barely spend any time in it. A much easier solution is just make Dragonfire Dive trigger Dive Ready, which would cut the time required to enter LotD down to 30 seconds. Honestly, I'm not even sure DRG needs THAT buff, since it is one of the most forgiving mDPS in terms of potency (the job only has 3 positionals).

As for your proposal for Dragon Sight, I wholly disagree. If it were to be made into an AoE, the damage buff to those affected to would have to be lowered to uselessness or changed entirely. As it is, that 5% damage boost alongside Battle Litany can be used strategically to help the party's SAM or MNK do silly amounts of damage during their openers and burst windows.