What are my chances of getting an offer for law?

I have bad gcse’s…
Maths - 5
English lang - 5
English lit -7
History -7
PE - 6
Computer science - 5
Combined Science - 7-6
French - 4
Since then I have had an academic comeback, now predicted A*(philosophy)A(politics)A(economics)+ A in EPQ. I am in the process of applying to Manchester, Leeds, Nottingham, Birmingham, and Lancaster. What are my chances of getting in with a strong personal statement?

None of these universities have particularly high GCSE requirements by any means, and even then, you meet the minimum requirements at all of them. Your predicted grades meet or exceed the requirements at all your choices, so as long as your personal statement is strong, I wouldn’t worry about your GCSEs preventing you from obtaining an offer. I also applied to Leeds, Birmingham and Nottingham and received offers from Birmingham and Nottingham with similar stats to you - good luck with your applications!