whether my phd interview might have gone well or not
1) Does mentioning the means of funding in a PhD interview imply that the applicant did well enough in the interview? 


No, it could mean many things. E.g., they might be trying to establish whether you could be hired without using their own funds.


  2) ...what can “nice to meet
  you”...imply? Is it a commonly used
  expression by interviewers or does it mean that the interviewer is
  pleased to admit the applicant?


It is a generic expression, it carries no hidden 
meaning.