Remote for 21"TV (Goodmans LD2262D) stopped working. ?

The remote for my TV stopped working (for no reason) - I have re-placed the batteries with NEW ones. It ha NOT been dropped The TV seems OK when I use the manual buttons on the rear of the TV.
(1). Can I purchase a new remote for this TV?
(2). If so where?
(3). Can I re-program a new remote?
(4). can it be repaired?
(Note I live at-the- back-of beyond. There an no TV shops within about 45 miles.