Welcome to the forum. As it happens, in a question I answered yesterday, I provided a blog-like response that was intended to cover most if not all questions about sexually transmitted HPV infection -- either in the response itself or in several other threads whose links I provided. Therefore my responses below are succinct; see the other threads for more detail.
http://www.medhelp.org/posts/STDs/HPV-concerns/show/1819004
Your June 1 extramarital sexual exposure carried no measurable risk of a new HPV infection, given that your exposure was condom protected, both vaginal and oral. The reappearance of warts on your scrotum had nothing to do with that event.
To the specific questions:
1) As noted above, there is little chance you acquired a new HPV infection of any type on 6/1.
2) New warts or other HPV lesions do not show up sooner than 6-8 weeks after exposure, and the average is 6-12 months.
3) Most new warts or abnormal paps are from new and not reactivation of old infection -- but your new scrotum warts probably are reactivation of your past infection.
4,5) Newly infected people are potentially infectious for partners before overt warts appear, but probably not within a few days. Even if you really acquired HPV 5 days earlier -- which, as noted above, you almost certainly did not -- your wife would not yet be at risk.
I hope this helps. Please take a look at those parts of the other threads that are pertinent to your situation.
Regards-- HHH, MD