The bath tub is definitely wrong for wet venting, the trap is too high. The wye below your "bathtub" label would be your tub vent connection, but the tub's vent connection is required to be no more that one pipe diameter lower than the trap outlet. So the tub trap arm can't turn down before the wye, and needs to enter the wye horizontally.
Also, you need to check whether the NSPC (NJ's plumbing code) allows the WC to be upstream of the tub, or not, on a horizontal wet vent. The IPC does, and the UPC doesn't, but NJ has its own plumbing code.
Also, what's connected on the left where it says lav branches off? If the only fixture that drains into that is the lav, then that works for wet venting the WC (as is) and the tub (if the above issues are resolved). But if you have any non-bathroom fixtures draining into that stack, or any fixture from a story above the bathroom, then that doesn't work for wet venting the tub and WC. You'd need to keep the lav drain separate from the other fixtures, use it to wet vent the WC and tub, and then the bathroom branch drain could join the other fixtures.
Cheers, Wayne