if the little moths were also like 2 mm across, then thats whiteflies, if youre in nothern cali, you se em at baseball diamonds or on quiet streets circling in the sun, counter clockwise. they are a persistant pest, like aphids with a meth habit. neem wont kill these bastards unless they are slow and retarded enough to get hit, but if you kill the eggs, the infestation stops. these little bastards lay minute almost microscopic eggs in tight spirals on the undersides of leaves, and they suck plants dry.
use neem to kill any and all eggs, larvae, carepillars, and nymphs. unless you have waves of them coming in, like my outdoor vegetable garden, dont use the pepper juice. indoors that shit will blow your wig back.
if they are bigger, they are the moths responsible for the eggs. if they are greybrown and maybe 1/2 inch across, thems budworm moths. otherwise they are an unidentified moth, and still needs to die.
the 2 mm inchworm could be lotsa things, a hatched tiny budworm, a baby ladybug larvae (youll like these even though they look like lil hairy scorpions) or a wee little caterpillar of another sort. it's not a whitefly nymph, those things look like little mounds of lime jello with wavy tentacles. (grosser than you imagine, google image search whitefly nymph)
if you can seal your room up tight, then no more lil fuckers should sneak in. a UV bug zapper in your grow room can also really make shit happen, plus you get UV bonuses.
UV kills fungal spores and makes plants happy in many ways, plus it zapps bugs. UV lights really up the heat though.