Wide cracks across asphalt road

From the pictures it looks like the cracks may only be in the stucco, and the underlying structural wall may be unaffected. It's hard to tell without actually inspecting the wall, but my guess is that these cracks are only skin deep. However, you will want to treat them to prevent them from spreading.

Here is a good article about Cracks in stucco.

Here are some excerpts from the article.

All buildings are subjected to a variety of stresses in various forms and this stress is often transferred to the plaster stucco membrane.

Stucco is not and never was intended to be a structural material.

Cement stucco is a relatively thin, brittle shell over a framed structure and can crack if the stresses are transferred and overcome the strength of the plaster membrane.

SHRINKAGE STRESS

All Portland cement shrinks as it cures. Controlling and minimizing that shrinkage is critical to minimizing cracks

Shrinkage cracking tends to have a map-like cracking pattern.

OUTSIDE SOURCES

Structural loads, lateral force racking, thermal changes, wind, lumber shrinkage and seismic events are all examples of outside sources of stress.

HOW HARMFUL IS A HAIRLINE CRACK?

a hairline crack does not automatically mean the stucco is faulty, failing or will not function for the service life of the building.

MAKING REPAIRS

Once the decision is made to make repairs, there are several options.

Option 1: Treat the joint with the same finish material.

Option 2: Paint the wall or ceiling after treating the crack with an acrylic paint or paint designed for stucco.

Option 3: An elastomeric paint coating.

Option 4: Recoat the wall from architectural break to architectural break with the same finish material.

Option 5: A new basecoat and mesh over the wall area.

If you want to do a proper job then digging the asphalt up is the right way to go. If you can see that there's a stone and sand mix underneath then it can't be that thick.

You'll need a pick-axe or a long crowbar.

Start at the edges or where there's already a hole. Work the end of the pick-axe or crowbar under the pad and then just lift. The further you can get under the better. It "should" lift up relatively easily.

You'll need to remove some of the sand and stones if you want to put soil down otherwise they'll just work their way up to the surface and you'll be constantly picking stones out of your flower beds.

To avoid surprises dig up a small area first and then dig down until you hit soil. It will all depend on what was there before the basketball court was built. If it was from when the house was built there could be all sorts of building refuse under there.

As for the concrete - that will depend on how big it is. You might be able to break it up with a few well aimed hits from a sledgehammer.