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I believe the number I gave for the SR was 250.

But, like the other stats, I just made that number up on the fly

I still think you've to the Size of the Sector Rangers way to big... by perhaps as much as an order of magnitude too big in terms of firepower. After reading a bunch on the Sector Rangers and associated Data I can come up with the following information on their organization.

1. The Most Basic unit of Sector Rangers in space is a "Patrol" which is probably equivalent to a single Law-class light patrol craft.
2. A "Patrol" maybe be assigned multiple systems to troll, perhaps even an entire sector.
3. Assigning an additional patrol to a sector is a significant boost to the capabilities of the sector rangers in the assigned area.

This means that the Sector Rangers almost certainly normally have less than 10, more likely less than 5 patrols assigned to a sector. Perhaps as low as a single patrol in a quiet sector.

Additionally if we model the organization of the Sector Rangers off the FBI we come up with some interesting information.

1. There are 56 Field Offices nationwide... Or ~ 1 per State/Territory
2. There are 400 Satellite Offices Nationwide or ~ 7 per Field Office
3. The FBI has a number of "Legal Attaches" in other countries, roughly akin to a police embassy.

Now how to use this as a way of modeling the Sector Rangers.

1 Field Office based off the Sector Seat
5-10 Law-class Patrol Ships, these basically take up the same role as Satellite Offices, local bases for Agents in the Field.
2 Embassies, one at the New Republic sector capital, one at the Imperial sector capital

Now... number of employees.
If Sector Rangers follow the same personnel allocation policies as the FBI each Field Office may well have a hundred or so, but these people never go out into the field. They're bean counters, accountants, DNA technicians, and CSI.

So you've got a couple hundred people capable of digging through warehouses for evidence, analyzing DNA, typing up reports, decrypting transmissions, analyzing voices, and everything you could imagine except actually putting cuffs on somebody. Actually number of Field Officers? Well that drops off quite quickly.

In the FBI Officers are usually assigned individually to cases or as partners. In the case of Sector Rangers I'd think that cases would be assigned much the same way, with Patrol-craft being assigned as needed.

I grasped that much. My mistake came when I overstated their numbers.

Either way, at the minimum, it means 10 Field Officers, 5 Field Assistants, and probably around 100 or so support personnel.

So, we can limit that to the 5 Patrol Craft, and maybe an IPV-I as a command vessel. Anything else would be deputized.

~

Now, what about the sectorial government. Are we talking a coelescant, unified government, or a confederation of systems and planets that agree to defend each other from invaders?

Confederacy.

Are we mapping out the exact strength of every military force in the sector?
Because I thought we were trying to get away from that.

I think the SDF is mostly, if not all, PMC.
With the Empire having nationalized the vast majority of system defenses, coupled with strict control of the ability to manufacture weapons and war machines, most star systems would not have the means to train and equip local armed forces. The Imps also probably made off with most of that military building capacity and destroyed what they couldn't take with them when they withdrew to their current holdings. So to defend themselves, the Local Government hires mercs.

Not Really.
All the Mercs need are, say, five good capital ships, a few squadrons of fighters, and a decent sized Army.
Their only purpose is to defend only perhaps a third of the sector from pirates and the occasional rogue imperial warlord as well as make a military solution to sector ownership more difficult than its worth for the already worn out NR and Empire.
Policing the sector relies on systems police and the Sector Rangers. All the Mercs have to do is keep their weapons clean, run some drills, blast whatever the Sector Rangers can't handle, and look scary.