Currently if a lead is a member of different programs, we see the same utm parameters in every program e.g. the ones tied to the last interaction. I would like to know if it's possible to save the utm parameters when a lead becomes member of a program and not to change them for this program. When the lead is acquired by another program, then the new utm parameters would be displayed only in this particular program. Thank you!

Unfortunately, the utm parameters are a property at the lead level and not of the program level so there isn't a way to freeze that info in time or to associate that with the particular program. Depending on your goal I have used add to list to try to capture some of that information for reporting purposes later but its not ideal.