Just realised I never replied to your question, sorry for the delay!
Also, it very likely that you are playing all the notes correctly, and at the end of the day it’s the sound that counts It’s just a bit hard to see these details in the video we discussed few days ago!
When we talk about “inside picking” we mean one of these things:
U on a lower string followed by D on a higher string
D on a higher string followed by U on a lower string
So for example this is all inside picked:
---3---3---3-
-5---5---5--- ...etc
U D U D U D
On the other hand, this is all outside picked:
---3---3---3-
-5---5---5--- ...etc
D U D U D U