How to Connect Sink, Dishwasher and Laundry Pump to One Drain Pipe?

My drain pipe in my unfinished basement is close to the ceiling which makes it hard to change things. I know that the drain in my basement is wrong right now and I am trying to fix it. I only have one attachment of ABS (1 1/2") to the main cast iron drain pipe and adding another one isn't really an option. I have a kitchen sink with a dishwasher attached to it and a basement laundry tub pump that all needs to be attached to the same drain. The laundry tub pump says that it does not need to be vented or have a trap. I have posted pictures of two options that I am thinking of. What is the best way to do this? Thanks for the help.

Here is the U.S., even if it would work, the plumbing codes would prevent connecting all those fixtures to a single 1-1/2" drain. The trap for the kitchen sink should be in the cabinet under the sink. That would need to be vented before it drops into the basement.

the way you show it the kitchen drain is not vented

If the drain line is "close to the ceiling", how is that drain line going downward, and where does the laundry pump connect to it. HOW you connect to the pump determines whether it needs a trap and/or vent, but it cannot connect to the drain system the way you show it.