Iranian frigate IS Sahand (74) burning on April 18, 1988 after being attacked
If Hezbollah can hit an Israeli boat off Beruit, then Iran certainly has the ablity to sink anything in the Gulf.
They certainly have the ability to launch a missile at anything in the Gulf. However, if its a US Strike Group, they will have some trouble getting that missile all the way to the intended target.
A mass attack would likely have some success.
Iranian frigate IS Sahand (74) burning on April 18, 1988 after being attacked