Disney Store Gift Card

Yes, and the framing of the question is the interesting part. There isn't a separate Disney Store card. Disney Gift Card Services issues one card that works across Disney Store, disneystore.com, Walt Disney World, Disneyland and Disney Cruise Line. If the card says Disney Gift Card, it works at the parks.

Same product, older name. The confusion is a leftover from when Disney's online store was branded shopDisney; it's now Disney Store at disneystore.com. Some older cards carry Disney Store artwork. The artwork doesn't change what the card does.

Yes, Disney Gift Cards are accepted toward theme park admission. Worth flagging separately from the food-and-merchandise answer, because the two get conflated constantly and ticket purchases are where people get burned by assuming.

Yes. Present it to a Cast Member at participating locations, or link it in My Disney Experience. Note that some sites limit how many cards you can combine on a single purchase, so check with the specific location.

No. The terms are explicit: no expiration, and no activation, inactivity, service or maintenance fees.

Replacement, not refund, and only on conditions. Disney replaces a lost, damaged or stolen card only if you have the original proof of purchase receipt and the complete card number. Call 1-877-650-4327. Cards aren't refundable except where law requires it.