I'm not sure whether this thread has correctly identified your problem. I'd expect higher alkanes to come from contamination, rather than thermal degradation of PEG - but I've not used a MS to confirm.
If your InnoWax column is thin film - as I'd expect for MS, then it should easily have survived your 1.5 days at 245C - provided your carrier gas flows were maintained whenever the column was at above 40C temperature, and the carrier gas was suitably purified. Oxygen and temperature are the main killers of PEG columns.
A 1um film InnoWax column has a lower ( 240C ) MAOT, but if the carrier is pure it should cope, but just produce a higher bleed. The Innowax column is supposed to take higher MAOT ( 260/270 ).
Also, PEG columns have minimum temperatures, in this case 40C, so once you're sure you've completely flushed air out of the column, you should start at 40C, and slowly ramp up to your initial temperature over several hours. Hold there until baseline is stable, then slowly ramp up to final temperature and condition for a few hours until the baseline is stable.
Don't take PEG columns higher than you need to, the higher the temperature, the more likely the column will degrade with trace oxygen.
I'd be looking for hydrocarbons from other sources, such as contamination - eg on autosampler vials, injectors, septa, in your carrier gas, etc. One possible source is sample solvents, especially if you are preparing samples by concentration, and using low MW alkane or aggressive chlorinated solvents. I'd put in a very short low-bleed non-polar column and see what sort of baseline eventuates after overnight carrier flows at low oven and normal injector temperatures using blank injections.
If the same HCs appear in your first programmed run, start looking upstream. If they don't, your column may be dead or contaminated - and you need to discover why, unless you want to make Agilent even richer.
In my experience, Innowax columns die quickly if they see significant oxygen at any temperature above 160C, so carrier gas purity is a big deal, as is ensuring that the column is always full of inert gas.
Please keep having fun.
Bruce Hamilton