ThanksYes the kid would have the Sharingan and yes they would be an Uchiha, because typically with clans, they have the man take the woman's last name to preserve the Uchiha clan name (If the woman was a born Uchiha and the male wasn't).
^This. We have dominant gene and recessive gene. I don't want to go into detail. It's self-explanatory.Possibly it depends on the genes.The surname does not factor in on his powers
A Uchiha without a sharingan?No. The male has dominant Genes. He would not have the Sharingan, but he could have the surname.