Just to add to the advice given, if your seat is too far forward then you will also put too much weight on your hands. You really should see someone about getting your bike fit assessed. Where are you located? It will help with recommending who to see.
You can also have problems if you ride long distances on a flat bar because you cannot vary your hand position. If you want to stick with the flat bars, then bar ends or something similar would be a good investment as they allow you to alter your hand position from time to time.
BTW, the symptoms you describe, will, if ignored, lead to problems. (Carpal Tunnel Syndrome)