I'm no expert, but it sounds like a combination of things. I would be persistent about talking them over with a urologist. The burning while urinating might be an infection or maybe a stone. The cord is very unusual. Many guys have roundish things called hematomas, which are blood clots from surgical leakage that eventuall dissolve. The aching contralateral (the other one) could be caused by increased activity to make up testosterone production. My aching peaked about 6 months post-I/O so badly I insisted on another ultrasound, which found nothing unusual.
"Statistics are human beings with the tears wiped off" - Paul Brodeur
Diagnosis: 05Sept07 Right I/O: 13Sept07; Pure Seminoma; Surveillance only per NCCN: All Clear February2013 (Chest Xray, Markers); Next check August2013 (CT Scans, Markers)