No. Testes are internal and there is no penis. Instead, male sharks have three cartilages in their pelvic fins that form a conduit for the sperm during mating. A female student once looked at these "claspers", especially the one shaped like a saw, and said, "Boy, I'm glad I'm not a shark."
Sharks are not mammals so the males do not have testicles outside the body. The normal body temperature of almost all (maybe all?) mammals' are "too high" for sperm so we all have testicles (nice job evolution!, putting the "family jewels" out there where they are subject to bicycle and baseball injuries). Anyway...
Sharks have anatomy that does the same thing as a mammal's penis but it is, technically, not a penis. Sharks don't have nipples either.
I know your "honestly curious" but your background information is funny, in a stupid sort of way. Haha
Anyway, to answer your question, sharks do have analogous structures to that of penises but do not have external genitalia. Many animals, especially those that are not mammals, have very different forms of reproduction and very different genital anatomies than that of say, humans. Sharks produce sperm inside their bodies; they do not have external testicles. (Many other animals are like this, such as birds and reptiles.) Furthermore, they have a structure analogous to mammal penises that serves the purpose of transferring sperm, as they utilize internal fertilization, but it does not resemble mammal penises at all. Your search engine can provide you with more specific details, if you're still interested. :)
Yes.
Only the guy sharks do .
My friend made a drawing of a shark with testicles and I'm honestly just curious.