Does this drain/waste setup look ok?

[AlP]

I'm replacing some old rotten CI and have dry fit the attached drain and sanitary run. This shows the toilet on a 4" long sweep, a cleanout heading towards the main, a 3" vent (to be extended thru the roof), and two 2" drain lines shortened for illustration. One 2" to service a tub and lav, and the other to service a washer and utility sink. The questions I have are 1) any glaring errors?, 2) can I use the 3" sanitary T for the vent vs a wye?, 3) is the 2" dbl wye used correctly?. I will of course be watching the 1/4" per foot slope. I'm in Fort Myers, FL and realize most will not know local codes but if there's anything that might be in question for "normal" practice I'd appreciate any comments.

 

[CT18]

Use sanitary cross, not the double wye