Yeah they carry them and they usually have them in stock. As for brand I don't know probably major ones.
Yes
They stock Wilson and Titelist brands
Yes they do no idea what brand, call the store directly
Always have carried golf balls and probably always will. You may want to check their website you can search for every golf ball known to man and then choose to either have the item held for pickup or if it's not available in the store it'll ship into the store or even directly to your home
They carry good balls like Srixon and Callaway yes
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