1
Yesterday I weared my new shoes to school.
Yesterday I wore my new shoes to school.
Wear is an irregular verb. Its past simple form is wore, not weared. Its past participle is worn: ‘I have worn these shoes many times.’
2
The bus was coming, so I wore my coat immediately.
The bus was coming, so I put on my coat immediately.
Use put on for the action of placing clothes on your body. Use wear when the clothes are already on your body: ‘I put on my coat and left.’ ‘I wore my coat all day.’
See PUT ON