Vishnu Purana:
English Translation: (Source)
In the twenty-fourth, Riksha (also can be written as Riksh or Ruksh or Ruksha), the descendant of Bhrigu, who is known also by the name Válmíki
Kurma Purana:
English Translation: (Source)
Thereafter 24th Vyasa was Valmiki.
Now my questions are as below:
1. Was this same Valmiki who wrote Ramayana?
2. Does 24th Vyasa means Vyasa from 24th Maha Yuga?
3. If answer of above two questions are Yes then is it true that there is no Kalpa Bheda in Rama's story from Vayu Purana and Rama incarnation happened in 24th Maha Yuga of current Kalpa->Manvanatra?
4. Does that also mean that Rama incarnation didn't happen again in 28th Maha Yuga as Vayu Purna mention next incarnations as Krishna Dvaipāyana?