The first and most important thing to get a Tempest to not die is to s-mod extended shields. The second requirement is to have a good number of flux capacitors; seven is the minimum I'd field, but more is better. (Non-s-modded extended shields is still better than no extended shields if your s-mod slots are already occupied.)
Last patch I would also have said that a installed-on-the-Tempest PD weapon is near-mandatory, but in 0.98 you can skip that without being in
too much trouble from its ship system burning off its drones.
For the specific s-mod setup you've described, I would suggest: Gorgon DEM SRM, Pulse Laser (left turret), Heavy Burst Laser or Phase Lance (right turret), extended shields, hardened shields, hardened subsystems, 8+ capacitors and the rest in flux vents.
Or, alternatively, Swarmer SRM, Phase Lance (left turret), Heavy Burst Laser (right turret),
all weapons in one group to ensure auto-fire, extended shields, hardened shields, hardened subsystems, advanced optics, 9 capacitors.
Sabots are a good choice for a Tempest you're piloting yourself, but the AI won't get great use out of them.
i know this might turn out to be not true
but i always believed auxiliary thrusters helped Tempest AI
the ability to manoeuvre more quickly (btw, auxiliary thrusters increases acceleration stats by 100% not 50%, it's really strong) makes it so the ship will more easily disengage and position itself at perfect encounter range
I would strongly advise
not going with aux thrusters on a Tempest. It's not worth it, and it's doubly not worth it when you should be getting maneuverability bonus from an officer with Helmsmanship.