"I could have written" is correct grammar. "I could have wrote" is not. Both are forms of "to write" "Wrote" is the simple past tense: "He wrote a letter" "Written" is a different present/past tense form that is used with "have": "I have written a letter", "He has written a letter" etc I hope this helps.
Should write or should wrote?
The third form (past participle) of WRITE is written; 'should be written' is correct.
Where do we use written and wrote?
Write, Wrote, Written
- Write is the present simple tense: "Write your name on this paper"
- Wrote is the past simple tense.
- Written is the past participle.