If you really wanna max your BS DPS, you have to work both on gear and rotation.
You are main Destiny BS, so indeed you have no gear problems
Anyway, what you need is accessories / gear with high base DPS (aka Combat Rating, including Comb Rat deriving from Strength).
Critical stats (Critical Rating and Critical Damage Rating) are also important, but focus on accessories / gear that give both.
So, you will notice difference by replacing Amra's Pride with a DPS cloack.
One of these:
Vigilant Serpentweave (Toth Amon drop)
Cape of Reprisal (Scarlet Faction)
Vicious Cape of Ill Intent (Vile Nativity drop, House of Crom)
Also, when you want to max DPS replace Death's Ward (great surv ring anyway) with a DPS ring, like:
Cang-Jei's Laugh
Coil of the Python
Ring of Flaming Fury
Energetic Band
You could also replace Kakaba necklace with Toth Amon necklace (I do not have it unfortunately

):
Set's Perversion
About rotation, BS best manifestation for DPS is Sun, and not because of the dot (that has a similar damage of Spirit dot) but because of the 6 sec +75% Weapon Damage increase.
During that small window of time, try to to avoid using anything else than some heavy DPS combo (Ursine Brawl 4, max CA level, SB V or VI finisher).
Also, try in your rotation to cast IB 2 times on Sun, and 1 time on Spirit .. and so on.
Mani Rotation: Sun, IB, ..., IB, Forest, ..., Spirit, IB, ..., Sun, IB, ..., IB, ...
Finally, go for a Muti spec, better with 2 points in Weight of the World.
And also max perks and feats for base Combo DPS (perks are in the class PVP section, bottom right); max IB hits, bleed DPS and also SB dps.
If you do not have, buy Ursine Brawl IV book.