lighting, as in enclosure lighting, isn’t important or necessary with arachnids - it is important that they have mild ambient lighting to maintain a proper day/night cycle but they’re nocturnal/photophobia creatures so - this can accomplished via overhead lighting or sunlight peaking through the blinds
spiders will continue to molt throughout their lifetimes but much like snakes this will decrease in frequency as they age
also, spiders/tarantulas/arachnids, are primarily stationary creatures and will typically stay in their den for hours at a time - even at night - at night, occasionally they might roam and explore but 95% of the time they’ll be in a stationary position in their den or some other designated safe spot within the enclosure (this is particularly true if they’re a New World species of tarantula of whom are commonly referred to as “pet rocks”)
i don’t think it’s anything to worry about