The mug, lighter, and locket aren't actually the items for doing projection. You need the tape recorder on the table to be able to do that.
Yeah, I actually have that, too. The problem is not that I can't finalise the projection: I can't even initiate it.

Attaching the relevant screenshot. The pink glow is present, but the green one isn't. When I press space only the regression is mentioned except in the split second as I exit the cognition mode.
Also, I'm running the gog.com version with the 2.0.1 patch available there (yay holiday sale) on windows 8.1 (32-bit). The game actually works quite nice with the touch screen, only sometimes it's a little hard to aim and I can't really take notes or press space without a keyboard attached...
Also, the only hints I get at this point are those regarding the photos from post office and a vague hint that I should use Rose's powers to recreate the record that is being cut short. I already know the colour of the dress, the date, time, the restaurant name and station.