I had found out that I have 5 herniated discs a lil over a year ago and before I could get the shots in my back my insurance cut off....I still have them will it go away?

Varies. If you truly have one or multiple disc Herniations, they can and usually do heal at some point. What I have seen in my practice though, is sometimes patients are told they have multiple disc Herniations when in fact they have multiple level degenerative disc disease. This condition can get less symptomatic over time, but does not really heal.
No. they do not heal up. The pain from them varies a lot and often the symptoms get MUCH better over a very short period of time. The pain pattern of the individual in the past is the most accurate predictor of pain in the future.