Don't even call your insurance. Never mind get them out. Just the phone call will count as a virtual claim. They will load your renewal costs and even log it on the insurance data base for other insurers to see. This practice should be illegal. I found out that TSB even logged a virtual claim if you phone to check what is covered on the policy!
This will be a DIY job as long as the cracks in the mortar are not caused by movement in the brickwork. That would need professional attention etc.
All that has happened is the crack have allowed the wind to blow water into the cracks that would have normally have just run down the wall.
As others have said. Make sure the down pipe is fixed. Then remove/grind the old mortar that has cracked. B&Q do a dry mortar mix made by Tarmac that is superb for this type of job. Use a small trowel to completely fill the gaps. If you cannot get the joints to look clean enough after filling, just use a sponge/water to clean up the face of the bricks. If need be, seal hard to reach cracks with a small amount of clear silicone, or use a brick sealer.