No, do not weld in the weld access hole after welding the CJP. That would involve welding in the K-area; NO, NO.
Depending upon the joint you are either dealing with a bolted web and moment/CJP welds on the flanges, or, CJP welded on flanges and web. Stay out of the weld access holes. You need to look them up in D1.1. 5.17 & Fig 5.2. Then, make sure you read the commentary. Some good insight there.
Have a Great Day, Brent