First, get the crack fixed. I'm not sure if you want to do this job yourself or have a pro do it. For the $$$ involved, it may be just as well that a pro do it. The crack should be cleaned out and re-done. If it wasn't done w/hydraulic cement (an expandable cement), then the crack will easily re-appear. Here's a similiar post, Basement wall crack to read. It should get you started.
After this job is done, you need to take a look at the sources of the water. Do you have clogged gutters? Are they 'busted' and hanging down? Are they improperly 'sloped'? Are the downspouts clean AND at least 3' from the foundation? Do you have the proper positive slope AWAY from your foundation? The next time there's a heavy rain, when it's coming down good and hard, put on a pair of boots and take an umbrella out w/you and inspect all around the foundation looking UP as well as down. There are a lot of posts and Follow-ups on this Forum that address this issue. Use your Browser's FIND or SEARCH feature and search for words like water or basement or crawl (as in crawlspace), and you'll see lots of info on how to do proper landscape, gutter, and downspout drainage. Don't stop looking when you make your first 'hit' when you're searching the Forum. There are more posts after the 1st one!!!