lifting: some ppl say a week some say 2 weeks before a fight. muscular strength needs a long time to develop anyways so you won't gain any strength.
running: keep jogging i would say even on fight week. you should probably go for a 20 min run a few days before the fight just because cardiovascular seems like one of those things that improve and decrease the easiest.
I don't know if you should run the day before your fight or not, someone more experienced will know.
i know guys who have just to try to lose last minute weight since weighin's on the same day as the fight. you have to do it without drinking water untill the weigh in too which is pretty much torture. so if you are 2 pounds over the limit, you might consider doing that.