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How old are you?
Are you sexually active
How long have you had these symptoms?
The symptoms you describe are consistent with a prostate infection called prostatitis. This can make the tip of your penis feel cold and make you feel like you are having discharge. This can be associated with a sexually-transmitted disease. You need to get in to see your doctor for a urine culture as well as STD testing and you may need to be placed on a course of antibiotics to treat this. Hope this helps and let me know if you have questions.