Lots of good thoughts here, but whatever you end up doing, you've got to grind out ALL of the crack. If you don't, it'll act as an initiation point for new cracks in your repair weld. That's probably what happened to the first repair. Unfortunately, grinding will tend smear metal over the crack and hide it. When you think you're done, use progressively finer grits of sand paper on a backing disk to polish out the crack area in an attempt to remove the smearing. Then use a liquid penetrant test to verify that the crack is gone. LP test kits aren't cheap, so if you're not willing to do it right, find someone that will or you'll be doing it again. A mag particle test would show the crack even if metal was smeared over it, but the equipment to do that is even more expensive than for the LP test.
If grinding the crack all the way out means going all the way through into the tank, you'll have to drain the tank, and I'd recommend some sort of inert gas purge while making the weld. As mentioned, auto exhaust can be explosive if it contains unburned fuel. And since grinding also makes sparks, it would be a good idea to clean and purge the tank before you broke through.
From the looks of the cracks, they're starting at the inside of the corner. I'd guess that the two legs forming that angle are twisting together and apart as the machine rides over rough ground, and that flexing is focused on the corner. I don't think a fish plate on the side is going to help, but triangular gussets top and bottom will distribute the loads over more area. See MossRoad's post #9. What ever else you do, try to end up with a smooth radius on the weld surface on the inside of that corner. Build it up and grind it smooth if you have to, and avoid undercut at the toes of the fillet as well.
I wouldn't have any hesitation using multiple passes with my Lincoln PowerMIG 180 welder on this. Probably end up running it wide open, but I've done way thicker stuff than this. Just make sure you push the wire toward the front of the pool so it impinges on base metal at the front of the weld pool. Lay down a stringer bead to start, then weave as the groove/fillet gets wider. Wouldn't hurt to hit it with a needle gun between passes to try to build some compressive stresses in along the way, but that might just be wishful thinking.