I love the idea of a class that has to balance between TP and MP management. Also the image of slashing with a sword, casting magic with the other hand and then unleashing a flurry of strikes and stabs again as a combo.

I feel like there might be almost too much choice in the possible combos though. It lends some serious versatility to the class but you have to keep in mind that SE would want people to play the job without having to strain their brains remembering what every single combo does. Maybe if it were more like two sets of the Ninja's Mudras (but actual attacks of course) that were separate but within their groups each had those different combo actions. Just feel that the learning curve may be a bit too high to even call it an easy to learn/hard to master job.
It could be that one combo 'set' is TP heavy and the other is MP heavy. That would also allow for some range capability if each had a single magic attack that restored the other resource slightly (it'd be more if it was in the combo).

As for the moves you laid out:

Dispel - an interesting idea but there's not currently much in the way of debuffing enemies. Maybe it could be a utility skill to get rid of ally debuffs.

Nighthawk - I can see what you're trying to do with it as a gap closer but it might be too OP given a PVP situation. You could be jumping around the battlefield non stop unless it has a cooldown, or charges that regenerate over time. (could make it so a combo action grants it a charge)

Anyway, just my thoughts. Really love the idea though since Red Mages are one of my favourite classes ever. Mixing magic and swords are always fun in my mind. Even moreso if you can set your blade alight with magic or cover it with a vortex (hint hint at self buffs like fists of fire but on your weps ^^)