The typical common cold incubation period is from two to five days, but symptoms can appear in as little as ten hours after the virus first enters the nose.
That being said, it has been proven time and time again that getting cold does not make people contract the cold virus. Although my belief is that being cold stresses the body and can make you more susceptible to getting a cold
If I were you, I'd tone it down a bit and ease back into the running and weight lifting. Now that you have a cold, you'll have to take it a bit easier anyway
Hope that helps.