My hemorrhoids give the same symptoms. "Leakage" is the worst problem. Pain and blood just irritting. Though the amount of blood in the toilet bowel can be scary.
Over 5 years ago, I had mine fixed with the infra-red coagulation method. The results were wonderful, but the problem is beginning to return.
My new Dr. doesn't use the infra-red method, claiming it isn't permanent. He recommended, special cortisone suppositories which are helping. I'm fairly impressed with the results, but not raving about the results as I was with the infra-red method.
Now I find out that the infra-red method is much more expensive! That is probably the reason the 2nd Dr. doesn't use it. . . expensive equipment. Maybe the insurance companies are rebelling against the infra-red coagulation method.
If the blood is bright red, and appears with straining it is probably hemorrhoids. I don't know what the bumps would be, unless you are feeling the hemorrhoids. I would see a GI doctor just to be on the safe side.