Ships & Modules

I wouldn't use rails, the Moa doesn't get a bonus to optimal anymore and on top of that the Moa can't kite a frozen turd. The Moa's speed is horrible barely breaking 1.5 km/s with the MWD on. I would also fit a web/invlun instead of the double invulns as frigates can get under your guns even while webbed if they are AB fit, you won't have a prayer without it and your resist bonus gives you solid resists for T1 as is. The web will also help you deal with the fact that out of T1 cruisers you're one of the slowest. Other than that the fit looks OK.

If you want to use rails the Thorax does it well for T1.

200 mm Thorax

Highs:
200 mm Railgun II x5, Caldari Navy Antimatter

Mids:
Experimental 10 MN Microwarpdrive I
Warp Disruptor II
Fleeting Propulsion Inhibitor I
Small Capacitor Booster II, Navy Cap Booster 400

Lows:
Medium Ancillary Armor Repairer I
Internal Force Field Array I
Energized Adaptive Nano Membrane II
Magnetic Field Stabilizer II x2

Rigs:
Medium Hybrid Locus Coordinator II
Medium Hybrid Metastasis Adjuster II
Medium Ancillary Current Router I

Gives around 500 dps if you use light drones, more if you use the one flight of mediums but being more of a kiter frigates are the biggest threat to hold you down so I often prefer the lights. But this ship is about 500 m/s faster than the Moa and more agile and so will be a far better rail boat than a Moa. The T2 gunnery rigs are fairly cheap compared to other T2 rigs and they make a big difference so I highly recommend them if you can use them.

In that fit replace the Medium Anti-Kinetic Screen Reinforcer I with a Medium Anti-EM Screen Reinforcer I

Same reason my Merlin is so effective against other Merlins and other frigates in general. Lasers are very uncommon where I fly, most ships being Merlins/Incursus/Slashers being some of the most common. Of those only the slasher can deal EM damage and they frequently load phased plasma anyway because most shield tankers fit an EM rig with extenders making thermal the most vulnerable resist. Hence the Merlin I fly is fitted with a thermal resist rig instead of EM so I don't tank the non-existent EM damage at all but I tank the heavy thermal damage quite well.

You are right as well, avoid laser boats altogether they will kite you and chew you up in no time, all while you can't even reach thanks to lasers excellent projection. The upside for you as a Moa pilot is that laser ships tend to be relatively rare.