Under the Unlimited format, that is legal. However, it isn't viable in that format. I won't touch your Pokemon, but rather, I'll work on your Trainers and Energy...
3 Copycat / POR / Elm / Steven
3 Computer Search
3 Item Finder
5 (combination of Focus Band and Gold Berry)
2 Town Volunteers
Not great, but not terrible either. It will be competitive, but it won't win all that often. GL, HF.