Becoming a paramedic without GCSEsWatch
You will need at least 5 GCSEs with grades in the C-A range. Usually, this should include mathematics, science, and english language/literature. If you get a C in English literature, English Language, Maths, and Triple Science then you're good to go.
Whether or not universities accept your level 3 in Health and Social care depends. If you want to increase your chances then you should get good grades in 3 A-Levels (how high the grades should be depends on the univeristy) with at least 1 science (e.g. Biology/Chemistry/Physics). After this, you will be able to get into uni to become a paramedic.
Go onto the websites of univeristies that interest you and check out their entry requirements, after that you can contact them and ask them if they'll accept your qualifications.