screen -d -m -S Screen-Name
screen -S Screen-Name -p 0 -X stuff "Command1; Command2 | Command3 && Command4"$(echo -ne '\015')
This first creates a screen session running a shell, most likely bash. Second, it sends some commands to the terminal input using stuff. In this case, you could append the `exit` command to your chain of commands to make the shell exit.
Alternatively, you could instead use a single screen command to start a bash shell in non-interactive mode, and provide the commands to it instead of stuffing them through screen:
screen -dRS Screen-Name /bin/bash -c "echo 1; echo a | sed s/a/A/; echo 2 > /tmp/hooha.txt"
This will automatically close when finished, and avoids stuff entirely.