Leaking Bathtub Spout

I have an apartment with an old (looks old) Fairway single-handle shower faucet and spout. When the handle is in the off position and turned all the way to the right, there is a small stream of water leaking from the spout. Keeping it in the off position and moving it to the hot side creates an even heavier stream.
Do I need to replace this faucet? A gasket? A valve?
If so, any suggestions for removing the spout? It's somewhat rectangular and I can't find any screws..or anything.
Any information would be helpful.
Thank you, Patty
Add pictures here
<% if( /^image/.test(type) ){ %>
<% } %>
Add image file

HomeOwnersHub.com is a website for homeowners and building and maintenance pros. It is not affiliated with any of the manufacturers or service providers discussed here. All logos and trade names are the property of their respective owners.