I know this is a bit of an old thread, but I just got this aircraft and had similar (actually identical) problems.  The condition levers are mapped to engine RPM commands and CTRL+F1 gives you ground stop and CTRL+F4 gives you run.  I found using the key commands avoids this issue.  There must be something about traveling through the area between the two extremes that makes CS want to start the engines.

I'm still working out the bugs, but with this I've been able to nearly always start the C-130 as directed.