Escape to the Wilds doesn't change when you can play the exiled cards. For example, if you exile a sorcery card, you can cast it only during your main phase when the stack is empty. If you exile a land card, you can play it only during your main phase and only if you have an available land play remaining.

Casting an exiled card causes it to leave exile. You can't cast it multiple times.

The additional land that you play doesn't have to be from among the exiled cards.

If you don't play a card exiled this way, it remains in exile.