Have two questions and have attached a picture for each. Thank you in advance.

1. Is this ok to pull wire under stairs ?. I can't pull through ceiling joists because 2 joists completely blocking my way due to duck work.
2. In the 2nd picture, I have a pole between two studs in one of the side of the stair's . I am running wire behind the pole ( between studs), and the wire will in direct contact with dry wall.

Is it ok to wire like this and will this pass inspection ?

I don't think its specific to local city.

Please assist and thank you in advance.

Thanks