Yes, English Past tenses and Tenses coordination give me trouble, it’s part of the learning process. Before Present Tense became popular, when I saw fictions in Present Tense, I’ve assumed that it was used by non-native speaker to make things easier.
However, narration in Present Tense has its own grammar problems, as in you have to watch yourself for not slipping into the Past Tense, or if you are doing it, you are doing it correctly.
Overall, just keep the grammatical rules in mind, and proof read a lot. There is really not much else you can do, no matter which language you use.