Interesting to see, I know my own species, the Shatong eventually go on to use gravity projection for FTL as well from gates to a rotating gravity ring projected ahead to 'pull' the ship ahead.

How do these drives handle space debrie and the like? I suspect you would not want particles to end up in the drive sections that could damage the more sensitive components. As well, I assume in combat these portions are a bit more fortified in shields and such otherwise I imagine they'd be weak spots to shoot for.

Ah, that also sounds like a good concept!

These type of engines are not FTL capable by themselves, that is handled by different devices although they do synergize.
These can handle sub-light obstacles very well, since the gravity channel, that the device in the nose of the ship and the draw of the engines create, pulls material including debris along a controlled path. The materials ships of this technological level are made of are very resistant to the occasional glances and impacts of stray debris from random incoming angles and velocities. The shielding synergizes with this as well, acting as a soft deflector that can also strongly react to an unusually powerful impact.

The engine sections are somewhat less tough than most of the ship, that is an aspect that needs to be considered when designing a ship that may see combat.
Behind the covering material, the resonator sections are separated into multiple rows and columns (if you would "fold out" an engine into a flat plane, to visualize), a few of these plates getting damaged is not an immobilizing event yet, diverting energy to the rest of the plates and slightly adjusting the vector of the gravity channel(s) immediately recovers almost all mobility, so losing a few is acceptable as far as the functionality of the ship goes.

Indeed, they could function as a matter-scoop for various devices!
The process doesn't require precise adjustments under most normal space circumstances, the engines operate most efficiently when meeting non-distorted gravitational fields but unpredictably distorted ones just reduce efficiency. The more disturbance or chaotic gravitational densities are present, especially with debris in the mix, the ship would be wise to make quick adjustments to adapt to the uneven forces.
Gravitational drives can be used for offense purposes, yes, but a ship only creates a local temporary gravitational disturbance measurable by a small multiple of its own size, so slowing or misdirecting of another ship is possible but only at a short range.

Systems that these engines use can be used for specialized weapons, such as a directed array of resonance plates sending gravitational waves in a simple force-counterforce method to damage and repel targets with gravity "ripples".
Projectiles can also be accelerated by such devices.
I'll do a picture like this one about various weapon technologies, maybe I'll include some of these!

Really cool, I love seeing your scifi world building.

Thank you!
I'm currently working on more of such sketch pages, you'll see more on FA soon if you are interested!