He undertook his doctorate at the University of Southern Queensland in Australia, where he was awarded a PhD for his thesis "An exploratory study on the quality of service in the public sector in Tonga" completed in 2013.

Stating that MPs should not be spending more public money on themselves at a time when the economy was weak, he was one of eight MPs to vote against the increased allowances (along with ʻAkilisi Pohiva, Semisi Sika, Sitiveni Halapua, Sangster Saulala, Sione Taione, Falisi Tupou and Moʻale Finau, all members of the Democratic Party).

[10] In the aftermath of the election he was one of three candidates for Prime Minister,[11][12] but was ultimately defeated by Siaosi Sovaleni, who won the Premiership with 16 votes.

On 24 December 2024, Eke was elected prime minister by the Legislative Assembly of Tonga, defeating Viliami Latu by 16 votes to eight.

[18] In February 2025 Eke announced that the previous government's decision to privatise Vavaʻu International Airport would be reversed.