Do they have gate openers? If so what brand?

Call them

Not sure. You should call the store.

Try to Google as there are companies that only do gate openers

I'm not sure if they have them at the store but they used to sell them online. Mighty Mule was the brand I think. Call the store and ask.

No the best home depot

I see a variety of latches, but I do not see mighty mule... It would likely be best to call.