I'm not aware of any medical schools that use the UCAS Points Tariff system. They set offers based on A-level grades.
You still need to do the UCAT, and aim to do well in it. As noted above, the BMAT no longer exists.
You will still need to do the usual work experience required for healthcare professions courses like medicine and reflect upon this and be prepared to discuss your experiences and reflections in interview.
You don't have to take A-level Maths unless you want to. Any third academic subject is fine for all medical schools except one (Cambridge) and you should just aim for whatever you can get the best grades in.
You probably want to avoid GCSE heavy medical schools (e.g. Oxford, Cardiff) and focus on those with minimum requirements (e.g. Imperial, UCL) or those that weight UCAT more than GCSEs.
Many medical schools don't even consider A-level predicted grades, and for the ones that do it's simply a tick box to validate if you are predicted the standard entry criteria. If the entry criteria are AAA and you are predicted A*A*A* you do not have any better chance than someone predicted AAA for the majority of medical schools I am aware of. Also higher A-level predicted grades will not ameliorate lower GCSEs for medical schools that score GCSEs (e.g. Oxford, Cardiff). There are a couple of such unis where achieved A-level grades may ameliorate lower GCSEs but this would only be applicable for those applying in a gap year after doing the A-levels.
Unless you have a personal project that fits the EPQ marking scheme that you were going to do anyway, there's no point in doing it. Very few medical schools will make altered offers based on the EPQ, most won't consider it at all, it usually isn't part of an offer even if you do take it, and the same things you could use it to demonstrate in interview you could achieve through plenty of other ways (e.g. work experience, wider reading, etc).