Low level DPS can be a bit weird, he may have been better at upgrading gear than you. As much as your bank account can afford it, make sure to at least keep your weapon as good as possible. Also, be sure to add your turrets DPS to your own when comparing!

Wildfire is hard to use on trash, FFXIV Gil few things will live long enough for it to fire, but I like to toss it out when AEing as it probably will then.

Yes use Reload, Quick Reload, Reassemble and Rapid essentially on cool down to maximize DPS. If you know a boss is coming up after a trash back, hold off. Also, getting Lancer/Archer cross class cooldowns will help, two of your damage cool downs (three if you count invigorate) are there.

Make sure you are keeping Hot Shot up and keeping Lead Shot on as many targets as possible. 5% isn't huge, but its noticeable, and Lead Shot is very high, efficient damage that isn't as obvious as a big single shot hit.

Also, use your off global cooldown skills! On bosses you can use Blank for more damage, and you can use Head Graze pretty much always for extra damage. For trash, keep Head Graze on cooldown, on bosses, keep both. Blanking on trash will make a lot of people rightly angry, so don't do it there. When you hit 54, Gauss Round too, and 60, Ricochet.

For Reload:

60s cooldown, lines up exactly with Reassemble's 60s cooldown (past 28), so use Reass on your Ammo'd Clean Shot (220 pot). The order itself doesn't really matter as long as you aren't wasting ammo on things for which you already have a proc going. For instance, I use 1-2-3-1-2-1-3-QR-2-3 and it ends up being exactly the same as your setup. It's your preference, just don't get hung up on the details.

For Wildfire:

The goal is to get as much damage as possible on the Wildfire target, so every time you use Wildfire you should also use every cooldown you've got. 

Your biggest source of low level damage comes from cross-class cooldowns so make sure you have those. 

Blood for Blood, Hawk's Eye, and Rapid Fire are all ~90 seconds so they should be up every single time you're using Wildfire. 

Every time where it's possible, Final Fantasy XIV Gil you should also line up Reload + Reassemble, Raging Strikes, and Hypercharge. If you feel like you've got the skills, you should even use your short cooldown damaging abilities - of course you'll be using Gauss Round and Ricochet, but you can also throw in Head Graze and Blank (only on bosses! don't knockback regular mobs pls, your tank will kill you). The exact rotation is on lots of openers people have linked in this thread.

For everything else:

There's Mastercard /s. Use Quick Reload the instant you have it up, don't save it for Slug Shot procs; if you have a Clean Shot proc waiting and QR comes up, use QR on Split and then Clean. I wrote a wall of text above explaining why if you want that. Keeping up Hot Shot and Lead Shot 100% is a must. They both last 30s so just line them up back to back. 

Honestly the duration is so long that my biggest challenge is forgetting to refresh it. Also, Ammunition only buffs the initial hit of damage and not the DoT, so don't bother using ammo on Lead Shot. With three enemies, your damage is best used putting Lead Shot on all three and focusing single target. Use AoE on 4+, Spread for fights 30 sec or longer and Grenado for short.