No one has given any good refutation of Skanda Purana's translation. The translation of Harivamsa claiming Rukmini was 16 during marriage is incorrect.
There is no Sanksrit word for sixteen mentioned in the transliteration: "shyAmAvadAtA sA hyAsItpR^ithuchArvAyatekShaNA". See here for comparison of Sanksrit words for sixteen:
http://spokensanskrit.org/index.php?mode=3&script=hk&tran_input=sixteen&direct=au
The Bhagwata Purana is based on mere belief that a mature age was the age of marriage for Hindu girls.
That is false as Manusmriti says even little girls can be married. The Puranas cited here were all written after Manusmriti.
