April 4th:

Monday, and according to Heavier than Heaven, after an interview with Robert Hilburn of the Los Angeles Times to talk about Hole’s new album Live Through This, Courtney calls Dylan who reported he hadn’t heard from Kurt since “we brought the shotgun”; claiming this is the first time Courtney had any knowledge of the shotgun existing. Keep in mind this could all be propaganda surrounding the issue of the gun.
Reportedly Courtney then phoned Seattle Police department and filed a missing persons report under the alias of Wendy O’Connor; Kurt’s mother. Tom Grant's explanation
Implications:
1.) Withholding vital evidence, Kurt was last seen at the Lake Washington residence on the 2nd.
2.) Impersonation, a gross misdemeanour offense.
"the department has since said they didn’t take the report too seriously, believing Kurt wasn’t really missing but rather that he just didn’t want to be found.” Accordingly officers drove past the Lake Washington home several times in next few days, but saw no activity.

Police believe Kurt was driven to the Carnation estate by a woman sometime during the proceedings of this day and spent sometime there…This is important, the fact the SPD and KCME took it as truth then eliminates the possibility in their eyes of a death on the 3rd or early 4th, eliminating the possibility of investigating a homicide that could have occurred beforehand.

"Based on conversations I had in the car with Courtney, it was apparent that she wanted me to believe Kurt had been to the Carnation property after he fled the rehab in Los Angeles and returned to Seattle." - (Case Study Manual)
Tom Grant discusses this issue with Carrol

The isolation of this property could be a key point.

Grant continued to monitor the progress of the surveillance in Seattle, attempting to track the still present use of the cancelled credit card, and began calling hotels in the Seattle area in an attempt to locate Kurt who might be staying under one of his aliases.

Courtney told Grant that Kurt was suicidal. "Everyone thinks he's going to die," she announced. The way in which Kurt's mental state in his last days is portrayed in mainstream publications is suspect. But these hearsay examples are raked up time and again to emphasise the fact that Kurt was mentally unstable, and that suicide was clearly on the cards; but quotes, whether they are believable and consistent or not, do nothing by themselves to support or erase the evidentiary issues in the case.

Exclusive to Heavier than Heaven: - ‘On Monday night Cali left the house for the evening, leaving Jessica alone in his room. Around midnight she heard noises. “I heard footsteps upstairs and in the hall,” she recalled. “They were walking with a purpose, you know, not tip-toeing about, so I assumed it was Kurt.” She called out “hello” into the darkness of the hallway, but heard no answer… Cali didn’t return until after 3:am, and he and Jessica slept late the next morning.’
— Fictitious suicidal insinuation to place Kurt at the scene?