The bleach and fix of any C-41 can be mixed with any C-41 as long as the times are appropriately adjusted based on the particular instructions. Washes may have to be adjusted accordingly as well.
You can even omit the starter in the bleach and fix and see little problem but you may have to adjust time upwards a bit. You can go overtime in the bleach and fix with no harm as they go to completion. You may have to adjust wash times upwards to compensate.
The restrictions on stabilzers or final rinse that I posed earlier apply as well, particulary as regarding film age (generation).
The final wash before the stabilzer or final rinse must never be colored, nor carry colored material into the final rinse or stabilzer. If it does, image stability will suffer in some way or another. The final solution should never take on a pink or red or brown color.
You must never wash after the stabilzer or final rinse!
The color developer should work as advertized as long as mixing instructions and use of starter or no starter as recommended for your kit are adhered to. I never heard of the developer that you referred to, but it should work with no problem.
Current chemical preparations for Kodak are now done by another company, but using Kodak facilities in Rochester. This was posted earlier on APUG.
PE