Hi,
1. There is a lot of competiton for programming roles in the UK And a lot of companies hire graduates.
2. I would offer the company the chance to speak with you on the phone. If there is a number, call it instead of emailing.
3. You might find more success if you sign up with a IT recruitment company who can match you to jobs. Employers often approach these people first so that if there are suitable vetted candidates they can hire them quickly. Search on google for “IT rectruiter”.
Good Luck