I am 46 years old. I have been weight trraining with medium weights for 2 years. Recently I have started getting a slight pain in my lower abs on the right side. Also a slight discomfort is felt at times in my right testicles and groin. Is this a kind of hernia? What exercises should I avoid to give it rest or should stop weight training altogether. The pain is not much and comes and goes. There is no lump as of now.

The only way to know for sure is to see a urologist. I had the same symptoms for 15 years, never developed a lump and it turned out to be a double inguinal hernia. The sad part was that the doctors could detect no hernia until I was thirty. Yet the symptons were there nevertheless. After the hernia was fixed the sympoms disappeared.

In any case, I suggest not increasing poundage and avoiding any exercise which brings on the symptoms.

BTW
The pain on the right side of the abdomen might be related to the hernia via referred pain but it might also be related to the appendix.