Try to evacuate bladder as much as possible. If I get mildly aroused, it feel like bit of urine leaks out. Can the urethra be bent when not aroused?

I believe that. Arousal ( erection ) has nothing to do with urination . Urine should flow freely unless there is functional or mechanical partial obstruction . I would advise you to see your pcp. He /she will be able to figure out why you have this problem with urination.