To admit, submit, allow – what is the difference?

Admit – is to confess or to acknowledge feelings or to allow entry

I admitted I had lost the report.

I admit to being jealous of my boss

The concert admitted 10, 000 people

Submit – is to send or deliver a form or document

I submitted the End of year accounts to the Tax office 

Please submit your applications by the end of July

Allow – is to permit or grant or offer something or to let something go or sufficient time

Smoking is allowed here

The judge allowed the prisoner to go

I dropped the ball and allowed it to roll down the hill

Will you allow me to open the door for you?

Please allow yourself 30 minutes before the plane leaves