Back to back Kitchen and lav. Am I plumbing right?

[Marcwantshelp]

Hi, I’m remodeling my kitchen and I need to move the kitchen sink to the right. Kitchen sink will end up almost directly behind the lav bathroom sink and I want to know the correct way to run the drains for both.

Helpful info:
- 1 story home in south Florida.
-vent originally was 3” cast iron connecting to shower, toilet, lav and kitchen sink
- 3” pipe running below
- distance from vent to lav is 3 ft
- plan on using 3” pvc vent and 2” pvc for trap arm with 1/4” incline
-tried using double or cross sanitary tee but other side won’t align with sit hen sink location


I attached a picture of the space and I have three options I wanted to see what is best. Also open to any other suggestions that don’t involve relocating kitchen sink from where I’d like to have it.

Thanks

 

[Marcwantshelp]

After spending half the day readying though threads, some say option 1 is correct some say it is not… any guidance from a pro or someone who has done this before would be very much appreciated