How do i increase my dps as a brd?

[Slark]

You should be using a macro to assimilate all your cooldowns into one button, aka Hawk's eye, Blood for Blood, Raging Strikes, Internal Release, and Barrage should all be in one macro, in that order. Quelling strikes should be omitted as it's a DPS loss to be using it every time you use all your CD's, its about a half a second wasted or so. Use quelling strikes as you see fit. For me, I've never had aggro problems outside of the first 20 seconds of a fight or so, even when I pop CD's for the second or third time midfight. However, if you are pulling aggro midfight, just pop Quelling Strikes again (preferably before you pop all your other CD's)
Using this, you can pop your CD's faster than otherwise, and you don't need to clog up your hotbar/keybinds with 5 unnecessary buttons.
Cooldowns should all be popped together. It is a DPS loss to pop CD's separate, as they boost each other significantly. It is a DPS increase to hold CD's until they are all up. The only time where you should split CD's would be during things like twintania's burst conflags, where its most efficient to use half on one conflag, and half on the other burst conflag, because if you blow all on one, you won't have anything for the next burst.

Try to get into a position where your dots are just about to wear off as you pop CD's. dots applied under your CDs are far stronger than not, but it is a DPS loss to clip dots, so line your dots up to wear off as your last CD is popped to maximize DPS. If in a bad situation, its best to just clip pre-existing dots with fresh, CD-influenced dots.
Besides that macro, you shouldn't be using any others.
In my opinion, BRD doesn't really follow a rotation as much as it follows a priority list, although it can be interpreted either way.

For abilities on the GCD:
1. Straight shot if unbuffed/Straighter shot (proc)
2. Windbite
3. Venomous Bite
4. Heavy Shot

For abilities off the GCD:
1. Miserys End
2. Bloodletter
3. Flaming Arrow
4. Repelling Shot
5. Blunt Arrow (assuming you do not need to silence)

Never let mana sit at full if you have offensive casters in the party, as requiem increases caster dps by ~15% without battlevoice.

For opening on fights, I go:
Straight shot > Bloodletter > Windbite > Flaming arrow(if target isn't moving)/Blunt shot (if target's moving)/bloodletter (if proc) > Venomous Bite

It's best to pop CD's right off the bat along with Quelling strikes unless you need to save them for something specific where they will be needed in the next minute or so.

Stat priority: Crit > DET > SS