Is it normal for my one year old to have cold symptoms for 2 weeks? Runny nose, decreased appetite, congested etc.?

Sometimes. Kids get on average 10 colds/year. Sometimes they may just have gotten over one cold and then another starts especially if they're in daycare. If your child is running a fever or you're ever concerned he/she has been sick for too long then you should take him/her to his/her doctor, if nothing more than for your peace of mind.