Wow, bowing is right. I see several issues: 1) Bowing / bulging / failed ties, 2) spalling, 3) settlement, 4) bad past repairs, 5) lack of weep holes, 6) no sealer.
1) Bowing is your biggest and most expensive repair issue. Bowing is an indication of wall failure. It’s probably from failed ties. (Ties rust away.) We repair historic brick veneer walls and it’s expensive. You need to secure the brick veneer to the STRUCTURAL portion of wall. (Brick veneer is not structural.) You need to re-secure the veneer by drilling through the veneer and installing bolts at about 24”” on center vertically and horizontally all over the wall. You can place a steel plate on the outside of the wall and then secure the other end of the bolt to the inside of the wall...OR, you can drill from the inside into the back of bricks and set a bolt into epoxy in the hole. This will preserve the face of the brick. (This is how historic restoration is accomplished.)
2) Are those face shells laying on the ground? If so, what has happened is water has penetrated into the face of the brick (bricks are porous) then frozen, then the water expands causing the face shells to pop off. Repair is impossible.
3) Those diagonal cracks are from foundation settlement. The bricks sit on a concrete shelf of the foundation and it appears the foundation has settled. You may not see cracks in the foundation, but the bricks could crack anyway. Masonry is EXTREMELY susceptible to cracking with the slightest of movement. (BTW, we design mortar to have less strength than bricks so the mortar cracks rather than the bricks. It’s easier to fix mortar joints than replace bricks, if and when there’s a problem.)
4) Obviously the previous owner knew about the settlement and tried to repair. They did the “patching” without fixing the problem. If you just “patch”, expect more settlement.
5) There should be weep holes along the bottom of the wall. They allow moisture to run out from behind the wall.
6) Bricks are porous and need a clear sealer re-applied regularly.