If you've watched yesterday's GH you saw Ava burning the DVDs in the barrell. That seems to have confirmed that she killed Connie. However, this is a soap. Any other ideas? I guess they could incriminate her even is she isn't guilty.
BTW, do drunks really stager as much as AJ in those recordings? If someone was that bad off I wouldn't imagine they'd have the presence of mind to find Connie's office.