Need to move toilet

I need to move my toilet about 3 feet down from its current location. I am also moving the shower down about 5 feet. Is the attached drawing OK. The toilet would drop straight down without a closet bend. Currently the wet vent and shower drain are on the left side of the 3" pipe using a wye to the vent and shower then going into a 3 x3 x 2 sanitary tee on the vertical stack. If I use a double 3x3x2x2 sanitary tee the shower drain is on the right and the wet vent sink drain will be on the left. Please see the attached sketch. The photo is the current setup. You can see the wye that goes to the wet vent and the silver duct tape is where the shower drain was coming in.

Thanks,

Jeff

No, the drawing is not okay.

Here are some reference materials:
Helpful Plumbing Hints for Residential Construction by Bert Polk Plumbing Inspector Lincoln County

http://www.klickitatcounty.org/building/FilesHTML/pdf/plmbghandout0411.pdf

Give it another try and come on back.

A better way would be to wet vent the shower with the lav, and then drop that into the toilet line.
That way the shower is vented by by the lav vent "before" it enters that line.

I labeled the photo of what the plumbing now looks like. Is this not correct either? It looks like the wet vent is like you say above that it is "before" it enters the line.