I have good news and (slightly) bad news for you. The good news: almost certainly you have no STD; for sure no STD was the initial cause of your symptoms, and anything you might have caught would have been eradicated by the treatments you have had, regardless of your current symptoms. You can be confident at this point you have nothing that will ever harm you in any important way and nothing you can transmit to your current or future sex partner(s). The bad news: persisting symptoms like yours are quite common and generally unexplained; you may have to just live with them, knowing it's nothing serious.
In general, oral sex is safe, with a low STD risk compared with vaginal or anal sex -- although not zero risk. Also, no STD can start to cause symptoms in less than 24 hours; 2-3 days is the minimum. The tingling/burning you felt within a few hours had to be from some sort of chemical or physical irritation, not an infection. Frequent or urgent urination generally are not caused by any kind of urethrits or STDs. Further, all the tests you had -- most of which were excessive -- at least are reliable and show you can dismiss all those you were tested for. Your continuing symptoms are not due to any infection. To your specific questions:
1) The cause of persisting symptoms like yours isn't usually clear, but a psychological origin is one strong possibility, as your urolotist suspects.
2) You can be sure you have nothing you can transmit to your wife.
3) The oral sex STD risks are for gonorrhea, nongonococcal urethritis (NGU), herpes due to HSV-1, and syphilis. None of these is a plausible explanation for your continuing symptoms. Oral sex carries little or no risk for chlamydia, HPV, HIV, or hepatitis.
4) You should stop getting tested for anything. Go on with your life and resume sex with your wife. Once you come to understand that your symptoms reflect nothing important, most likely they will fade away.
A side comment: This was not a situation suitable for self-directed online STD testing. You probable spent several hundred dollars unnecessarily; a visit to your primary care provider or a local STD clinic would have saved you most of those expenses.
Please read the following 3 threads. Two of them address symptoms like yours, and the other primarily addresses online STD testing versus direct care by a knowledgeable provider.
http://www.medhelp.org/posts/show/1510665
http://www.medhelp.org/posts/show/1511959
http://www.medhelp.org/posts/show/1381627
I hope this has been helpful. Best wishes-- HHH, MD