Brand isn’t important in my opinion, viscosity and ratings are. Fundamentally if your dpf is still present then stick to a C3 low saps 0w30 and if it isn’t then I would recommend a 0w30 C2 instead.
Investigate what’s causing the high emissions output and solve it. The car is likely over fuelling, could be down a number of things including a bad egr, bad injectors or a boost leak.
If you can’t see the reset service indicator option it means your maintenance minder has been disabled (either at PDI or later by someone with a HDS). Once disabled, it can’t be re-enabled as far as I’m aware.
If it’s something that has developed suddenly then that’s something different. Might be something as simple as tyre pressures, try running a higher psi. It may even be a failing tyre compound.
If you’re on 17s and above then this is sadly a trait of the 7th gen Accord. Try temporarily switching to 16s and see if it eliminates it. Ensure you stick to correct rolling radius. 17s should be on 225/45/17