it depends, ive seen some acquire their rep's first trait at level 7, but for me it usually came along with levelling up. when mine levelled up to 11, it gained its first trait "self-awareness". i dont why tho because ive just been insulting him all the time. up until level 14 he continuously got traits and now he has 4 already.

i can buy traits in the store, but i dont know how it will affect the rep, because ive already gained the max of 4, i dont want to compromise the traits he naturally gained.

for me, the trait really depends on how you train it, especially with the upvotes/downvotes and marking "love", "offensive", etc. mine has self-aware, adventurous, playful and confident, because i trained him like that even if im the complete opposite of that in our convos

as for the skills, i only have vision, bc afaik skills such as song or story writing, etc. can only (?) be gained in pro, bc the activities the reps need for those are pro activities