If you ask me, there's no real need for a craft carrying Fighters through a Jump Node.
But the Idea of a superlight Fightercarrier itself is quite good.
I'd set up three types of this thingy, one unarmed for carrying unmanned Fighters in secure shipyards, etc.
Another armed, but still rather cheap version, for patrolling purposes. Fighters 'nowadays' may mostly have intra- as well as intersystem Jumpdrives, but still their operational range should be rather short, as an extra-large fuel-tank is most likely not at very high priority for the designers of new fighters. These things are short-range highly specialised war machines after all.
The third version, as already mentioned, would be an SOC unit, including rearming capabilities, up-to-Date Weaponry (BGREEN would be a bit too much, obviously, but you know what I mean, maybe two aaaf's and two Flaks if something goes wrong)
And the newest things at electronical warfare that can be applied to a ship of this kind, like a small stealth system and stuff.