I have no numbers for my air force, believe it to be quite small but capable.
As for outdated equipment for the army, some would disagree.
Just because it's old doesn't mean it's not effective.
North Point's army has elan, that's all. You won't find any coyote tan, MultiCam, high-speed-low-drag, or angular foregrips on rifles in this country...
Here's why:
1. The country is similar to Switzerland. There's a professional regular army, but all males must serve 2 years in the military after high school graduation. After this term of service, they remain members of the Guard Force (similar to a national guard or militia, but hopefully without the David Koresh association that term often brings up...) until they turn 30. They can remain Guard Force members as long as they choose to, though, but must attend yearly refresher training. This leads to a "rifle behind every blade of grass" nation that will hopefully be difficult to occupy.
2. The military is armed with rifles, not 250m carbines. The ability to kill or incapacitate at 800m+ is paramount. Carbines are issued to drivers, artillerists, and other second line troops (as was their original intent). I look to the Australian experience in Vietnam as support for using 7.62mm battle rifles during close quarters jungle combat as well.
3. Vehicles are vehicles -- what a HMMWV of 2012 does, a Jeep of 1942 can do similarly and more cheaply. Jeeps, Land Rovers, Hiluxes, and Land Cruisers as standard military utility vehicles and tracked Bren universal carriers for utility transport in the jungle areas (where roads are less passable). Unimog trucks and M35s for general transport. There is no pressing need for mine protection since NP's military doesn't execute counter-insurgency missions. Plus the old stuff is just cooler.
4. Armor is mostly "outdated" late-mark Chieftains, a few Leopard 1A1s, M551 Sheridans, M113 APCs and similar. NP first and foremost doesn't have the budget for a large, modern tank force, and second doesn't have the geography (except in the two central landmasses) that would really support large tank battles. More emphasis is placed on the individual soldier and his rifle.
5. The Army page incorrectly shows an aviation contingent when in fact this should be rolled in with the North Point Flying Corps (air force). That section hasn't been updated in a while, but I think my plans were to use Puma and Cougar helicopters as heavy transport, MD-500s as recon/scout, Alouette IIIs as light attack/utility, and the later model AH-1 Cobras as attack helicopters.
6. The main overarching goal of the ground forces is to make the country as unappealing a target for occupation as possible. This is accomplished by ensuring that the regular/reservist military is highly-trained in riflery (i.e., a rifleman with a rack-grade FN FAL, using military-issue ball ammunition and iron sights, can hit a man-sized target at 500 yards without difficulty). The other branches of the army, such as armor and artillery, are relatively underdeveloped as such.