Your inspector has the final say. I've always found inspectors to be helpful and patient. Ask before you do the work. I like the idea of screws, but one inch is plenty long enough, or predrill. I'm worried you'll split the wood.
Fun facts: conduit riser. Intermediate (IMC) is stronger than rigid (RMC). Either can be upgraded to stainless steel.
The top plate has me really worried. But structural is out of my league. I go by these rules, but it's rote knowledge.
"Drilling and notching of standard wood members is subject to the following:
Notches in joists, rafters, and beams may not exceed one-sixth of the depth of the member, may not be longer than one-third of the depth of the member and may not be located in the middle third of the span.
Notches at the ends of a*joist, rafter, or beam may not exceed one-fourth the depth of the member.
The diameter of holes bored or cut into joists, rafters, and beams may not exceed one-third the actual depth of the member. Holes may not be closer than 2 inches to the top or bottom of the member or any other*hole*located in the member. Where the member is also notched, the*hole*may be no closer than 2 inches to the notch."
Sometimes we get things signed off by an architect or engineer.