Your first step needs to be to sort out what can be separated from what - there is no point working out a headspace method unless you can see the peaks.
Go back to ordinary liquid injections - disconnect the headspacer and make up % level solutions of each target analyte in each bulk solvent. Inject these into the split splitless inlet, using liner with a wisp of glass wool it it, with a split ratio of 50:1 and see which of the analytes you can separate from each of the solvents. For those that do not separate you will need to try a column with a different stationary phase.
Once you have separations of analytes from solvents and solvent mixtures, then dilute the solutions by 100 times and re-inject, dilute the 1/100 dilution by 10 and re-inject, dilute by 10 again etc etc (since by this stage you know which analytes come out when you can make mixed standard solutions to save time) to get an idea of the lowest concentration that you can detect with an injection of a liquid standard. If your detector can give a decent peak with 1 ng, and you inject 1 ul you should get down to about 50 ul/l with a split of 50:1.
Now re-attach the headspacer and run the % standards again, if necessary swapping columns to do the various solvent - analyte combinations, and work back down in concentration.
Peter