There is a handy list on wikipedia: https://en.wikipedia.org/wiki/List_of_objects_at_Lagrange_po...
Your intuition is quite right, there is way less satellites parked around L2 than in low earth orbit for example.
But that doesn't really pose too big of a challenges in itself. It is of course far, both distance wise and energetically.
The main complication often mentioned is if something is wrong with the telescope it makes it very unlikely that a crew can visit it to fix it. The way for example how they repaired Hubble is unlikely to happen with Webb.
The Webb self-assembly is absolutely where the scary bits lurk.
Now, both Ariane 5 and Atlas 5 are extremely reliable, mature rockets.