Sean, congrats on the first job.
What, specifically, was wrong with the drawings? I see incorrect weld symbols all the time, sometimes by the engineer but mostly by the detailer. In most cases the engineer has the authority to correct a mistake or leave it as is. You should document your concerns about the possible mistake and the conversation w/ the engineer and his/her response.
on the inspection report. Be very detailed, date, time, names, location, discrepancy, witnesses if any, weather, etc.
Just a friendly word of caution; make sure that you are right before you document a Professional Engineer on an Inspection Report.
What code do you need a report for? You can have a very basic form or a very specific form for certain codes D1.1 or B31.1.
I made my own for a specific job site I'm on now. I can tailor it to suit the next job or make a new one. Recently there were several I R's forms on a thread but most were sent via PM as some contained company names and forms not intended for general viewing.
Tomorrow, when/if I get a chance I will send or post the form that I made. It is job specific so it might not help much.
A shop inspection report for AISC/D1.1 will be very different than a field inspection report for B31.3.