Welcome aboard and do not fret the drops.
Remember there is a difference between a drop and a crash.
Drops usually happen at our around 0 MPH crashes are another matter.
Do not be to quick to replace the scratched parts.
Egos heal quickly but memories last a little longer.
You experienced two very common drop scenarios.
There are more out there and you should spend time reading up and avoiding them.
Riding with a pillion also makes it more difficult, so here are a few don'ts even for an experienced rider:
1. Never come to a stop with the front wheel turned and applying brakes - especially the fronts. If you want, when going slow, drag the rears.
2. Always watch for foot placements and firm ground when coming to a stop. Gravel, sand and slippery stuff are your enemy.
3. Do not even think of doing slow riding and braking as a way of manuvering in the street - especially going up hill and turning.
4. If the whale starts to go over - let her go - bike parts are cheap as compared to body parts - things like legs and backs.
Please note from experience I have personal knowledge of 2-3-4.
Now go out and read & ride . . .