All that rain stirs everything up....
Like glenn said, tough to fix and only from the outside.
Its like having a cup with holes in it...fix the holes from the inside and put it as far as you can into a pan of water....leaks pretty quick. Now try fixing it from the outside with a continuous layer of tar or other exterior sealant...not as bad.
But the best way is to get drainage at the bottom areas around the foundation to remove all the water....or call basement systems or another local Co. to give you a free appraisal.
Any way you look can be expensive because of the labor and extras....and please do not do anything as far as finishing goes in the basement until you have a good rain storm after the fix. You will save alot of money and grief if you do.