Methanol blank is showing lots of little tiny random peaks that are being picked up by the integrator, and I suspect this is a (and possible the) source of the error.  I need to find the source for that noise.
Integrator is good at finding peaks reproducibly.  Obviously, larger peaks show a slight lag in their RT.
I don't have an air blank.  Will shoot a couple this evening.
I'd lower the split, but some of the peaks that I'm searching for are very close together.  Either I slow down the temp ramp (it's already pretty slow), or stay with the 100 split.  Will have to see if varying the split varies the noise.
Two red flags here: 
If larger peaks have longer retentions that implies column overloading, but your sample concentration and split ratio puts much less on the column than would overload it. So either your samples are more concentrated than you think, or the split is not running at 100:1.
Except under extreme conditions, changing the split ratio will not affect the separation of peaks, so if decreasing the split rally does affect separation (of the peak apices not the overlap at baseline) then that also points to a problem with the splitter.
Your split vent line might be partially or completely blocked. NB that you cannot diagnose this by measuring the flow rate at the split exit. What model of inlet do you have, and does it have filters on the carrier gas and split lines ? If there are filters have they ever been changed ?
Peter