Do u need a pea drain? The shower will link into the new tiolet drain. Also two sinks will feed into the shower drain. I will install an air vent with the new air vent system that doesn't require you to go througj the roof I also have to brezk the floor

I will assume you mean a P Trap. All fixtures except a toilet must have a trap. Need to excavate under the shower to get clearance for trap or elevate shower. I will also assume you are doing this without a permit or they would have told you so. Double vanity can use 1 P Trap if properly installed. Do you know where to vent? Size of drain pipes? Proper fitting to use?

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Do u need a pea drain?

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As already stated, If drains it MUST be trapped.

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The shower will link into the new tiolet drain.Also two sinks will feed into the shower drain

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That's called wet venting the shower.
Check your Building Department to see if AAVs ( air Admittance Valves) are allowed. Good luck, Tom

One sink is in the washroom and on the otherside of the wall is a kitchen sink. The vode does alliw me a venting

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One sink is in the washroom

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If by "washroom" you mean the bathroom you will install the drainage as shown and vent the lavatory with a AAV. Also the kitchen sink will require one as well. Good luck, Tom