Your score should be ok for Warwick. Check the criteria for Sheffield, if you meet their WP criteria thus would be a good option for you.
For Birmingham, you will need a high 2.1. Also you will need to have a year or more full time work experience (not necessarily in healthcare). Check their scoring system carefully, it's a new system so nobody knows what score might get you an interview.
You would almost definitely not get interviews from Newcastle or Barts. You would be unlikely to get an interview from Southampton (but if you have a blank space on your form it's less risky than ncl / barts).
I don't really know about KCL, they say they assess applications "holistically" (in other words they won't say what they want) - my gut feeling is you'd be unlikely to get an interview because of your ucat, but again if you have a space on your form it'd be worth a shot. Perhaps a better option than Southampton.
Otherwise you could try for Cambridge (most, but not all, interviewees have straight A/A* at A level and / Or a 1st class degree). You could sit the BMAT and apply for Oxford (a high BMAT can make up for other weak esses there).