Hello Socko, When telling a story you can jump from a tense to another .In speech it will be mainly past tenses inclusive the past continuous. In written stories the past simple is used often to narrate past events. When you write dialogues in a story you will rather use the present tenses to give an account of what 2 persons were saying in a conversation for example. All other tenses are applicable according to the general grammar rules. There are different styles of writing where authors tend to use tenses not indicating the real time of events for figurative or metaphorical reasons. The variation in using tenses creates different styles that become specific to certain authors,where they deviate from grammatical rules . But still in general past events require the usage of past tenses.

When you write about an event the past tense is often used. For eg Once upon a time there lived a poor girl called Cinderella. When I was in Italy I travelled to the Amalfi coast. The football match was very exciting and my team's best player was injured.