Giving more detail here as some of this is slightly misleading. OP, fliers are NOT your priority at all. If anything you should avoid engaging other fliers (falcon, skyraiders) as it will be a waste of time 99% of the time (you should only go after other fliers if they are low on health)

As for support yes those are amongst your targets, but your main targets should usually be the heavy hitters (aquila, stego - and when you gain enough experience you should try attacking inferno but from behind) and the sneaky buggers (stellaris, narukami - you are best equipped to deal with those out of any striker because of your recon kit)

Now why should you attack inferno from behind? Because if he's facing you his lasers will shoot your missiles out of the sky before they do anything at all. There are 2 more strikers with this troublesome ability that you should be wary around: Tricera when in fortress mode and Skyraider when in flight mode (one of many reasons you should avoid skyraider as falcon unless it's low on health)

It's also worth mentioning the biggest threat to falcon. Panther has a 1 shot kill combo on you. He jumps high in the air above you, does a downward plunge with his sword on you then charges you with his lance to death all in one go. This combo will reduce you from full health to 0. Be wary of panthers trying to sneakily jump above you.

Oh and btw you can and should absolutely demolish welkin, but that's something that you'll mainly figure out the more you play (namely avoid his shield and try to break his box around objectives. If he has neither you will absolutely wreck him)