ejector

Hi all. Basically I have a sewage basin and ejector pump in a basement. Currently I have just a sink that uses it. I'm now adding a full basement bathroom, which will be used by two people regularly. It is already stubbed in and connected to the tank. I'm kicking around moving laundry downstairs...

Scenario - New construction 15o feet of 2" pipe connected to the output of a Sewage Ejector System (41 gal) with a 1/2 HP pump. Output is connected to backflow preventer valve and a union connector. Septic system pipe front end - where I am connecting - is 3 feet below the height of the ejector...

Attached is my idea for the basement bathroom I'm installing. I was wondering do I need a vent like shown beyond the sink? Or is the ejector pump vent enough for all the fixtures. I'm never selling my home so I need to know what will work safely more than "code".

Greetings from Canada, I'm a DIY-er who visits this site often for advice. This time I think I may be over my head. I have a sewage ejector system in my basement, looks like it was built in 92. I got the house in 2010. Pump and float/check were replaced in 2018. Last week the whole thing...