Übersetzung - Deutsch-Englisch - Was ich Dir wünsche...

- Tiefe would translate literally as depths or lows, rather than obstacles (obstacles sound as practical things to overcome whereas lows sound more like psychological 'things'.)

- 'the answer' -> 'a solution'

- 'little doorways' -> 'a little doorway'

Just some very small things, I know.
Otherwise a very nice translation

1. Instead of "the possibility to find an escape" I would prefer ".....a solution".
2. "May little doorways always open for you": -perhaps I would skip "for you"
3. "(the) sunshine in your face"
4." I wish for you to catch all your hopes and dreams and preserve them forever." I would prefer "I wish for you to take in and forever preserve hope and dreams"
5. "dass Dein Herz deinen
Verstand immer besiegt!"
= "that your heart will always have priority over your reason".
...These are very minor objections ideed, and your English rendering of the German is absolutely first class.