Question: Are both Waratah and Trachymene native to Fiji?

Context paragraphs:
Monarchy of Fiji: The monarchy of Fiji arose in the mid-nineteenth century when native ruler Seru Epenisa Cakobau consolidated control of the Fijian Islands and declared himself King or paramount chief of Fiji (Fijian: "Tui Viti" ).  In 1874, he voluntarily ceded sovereignty of the islands to Britain, which made Fiji a Crown colony within the British Empire.  After nearly a century of British rule, Fiji became a Commonwealth realm, an independent sovereign state within the Commonwealth of Nations with Elizabeth II as head of state.  After a second military coup in 1987, Fiji became a republic, and the monarchy was ended.  Nevertheless, the Great Council of Chiefs recognised Elizabeth II as "Tui Viti" or the traditional Queen of Fiji, but the position is not one of a constitutional, or otherwise legal nature.  The Great Council of Chiefs was disestablished in 2012 by decree.  Elizabeth II does not use the title, and the Fijian government does not recognise it.

Fiji Week, 2004: Fiji Week was a week of prayer meetings and multicultural programmes that took place the week of 4–11 October 2004.  Organized at a cost of US$410,000 by a multiracial national committee chaired by the Prime Minister, Laisenia Qarase, Fiji Week was intended to foster reconciliation among Fiji's diverse ethnic communities, especially native Fijians and Indo-Fijians, whose mutual rivalry for political power has dominated Fijian politics for the last generation, and whose relationship has been especially strained since the overthrow of the Indo-Fijian-led government of Mahendra Chaudhry by ethnic Fijian nationalists in the Fiji coup of 2000.  Organizers of Fiji Week hoped that it would help to bring about a sense of closure to those events, but the controversy that it generated made this appear difficult to achieve.

Waratah Islands: Waratah Islands ( ) is a pair of small islands lying close to the coast about 1 nautical mile (1.9 km) northwest of Hannan Ice Shelf, Enderby Land.  Plotted from air photos taken from ANARE (Australian National Antarctic Research Expeditions) aircraft in 1956.  Named by Antarctic Names Committee of Australia (ANCA) after the Australian native plant Waratah (Telopea truncata).

Taukei ni Waluvu: Taukei ni Waluvu is the Fijian picturesque phrase for "Native of the Flood."  It is the traditional chiefly title of the warrior hill clan Siko-Natabutale of Nairukuruku village.  The history of the clan from the mid- nineteenth century, represent the social structures of the chiefly system, religion and western culture that supported colonialism in Fiji.  Tradition, Christianity and British indirect rule were combined to legitimize what was accepted as the right way to govern.  Condemned by some modern day critics as exploitative, the Fijian chiefly system was the medium of native social interdependence and a traditional contract shared by the indigenous clans of pre-colonial Fiji, that was justly utilized for colonial rule.  Since Independence the chiefly system has had to adapt to the demands of modernity.  Anthropologist Arthur Capell in his study of early tribal migration within Fiji made the point that, "the history of Fiji is the history of chiefly families."  The phrase in fact emphasized the hierarchical nature of Fijian traditional society where chiefly power was held sacred.  The relationship between Chiefs and Westerners in especially Missionaries thus became a focal point for gathering insight into Fijian culture and tradition in the nineteenth century.

Naziah Ali: Naziah Ali (born March 4, 1982) held the title of Miss India Fiji 2009.  She represented Fiji to the Miss India Worldwide Pageant in Durban, in February 2009.  She is the first Indo Fijian from Fiji to represent Fiji to the pageant.  Ali is of both Indian and Fijian origin.  Her father is a third generation Indian and her mother a native Fijian from the province of Ba.

University of Fiji: The University of Fiji is a university based in Saweni, Lautoka, Fiji.  It was established in December 2004 under academic leadership of the Fiji Institute of Applied Studies and financial sponsorship of the Arya Pratinidhi Sabha of Fiji, a Hindu religious organization dedicated to education.  Its website describes it as a "private, nonpartisan and non-profit making university."  On 14 February 2016, the Native Lands Trust Board (NLTB) signed a 99-year lease with the university for the 5-hectare property, for which the university paid F$100,000.  The university agreed in return to provide two scholarships annually for the children of landowners.

Waratah: Waratah ("Telopea") is an Australian-endemic genus of five species of large shrubs or small trees, native to the southeastern parts of Australia (New South Wales, Victoria and Tasmania).  The most well-known species in this genus is "Telopea speciosissima", which has bright red flowers and is the NSW state emblem.  The waratah is a member of the plant family Proteaceae, a family of flowering plants distributed in the Southern Hemisphere.  The key diagnostic feature of Proteaceae is the inflorescence, which is often very large, brightly coloured and showy, consisting of many small flowers densely packed into a compact head or spike.  Species of waratah boast such inflorescences ranging from 6–15 cm in diameter with a basal ring of coloured bracts.  The leaves are spirally arranged, 10–20 cm long and 2–3 cm broad with entire or serrated margins.  The name "waratah" comes from the Eora Aboriginal people, the original inhabitants of the Sydney area.

Trachymene: Trachymene is a genus of herbs in the family Araliaceae.  The species are native to Australia, Malesia, New Caledonia and Fiji.

Chinese in Fiji: The Chinese diaspora in Fiji is a small but influential community in the multiracial society that makes up modern-day Fiji.  In the early 2000s their numbers were estimated at around 6,000, or a little over half of one percent of Fiji's population.  The most recent estimation puts the population at 8,000 making the concentration of Chinese in Fiji at around one percent.  Around 80% of Chinese in Fiji speak Cantonese and around 16% speak Shanghainese as their native language.  Chinese in Fiji also speak the local Fijian language.  Chinese in Fiji have a strong Buddhist background and some retained Confucian traditions.  There are also a considerable number of Fijians who are of partial Chinese extraction, being descended from marriages between Chinese and indigenous Fijians.

Telopea oreades: Telopea oreades, commonly known as the Gippsland-, mountain- or Victorian waratah, is a large shrub or small tree in the family Proteaceae.  Native to southeastern Australia, it is found in wet sclerophyll forest and rainforest on rich acidic soils high in organic matter.  No subspecies are recognised, though a northern isolated population hybridises extensively with the Braidwood waratah ("T. mongaensis").  Reaching a height of up to 19 m , "T. oreades" grows with a single trunk and erect habit.  It has dark green leaves with prominent veins that are 11-28 cm long and 1.5 – wide.  The red flower heads, known as inflorescences, appear in late spring.  Each is composed of up to 60 individual flowers.

Supporting paragraphs: Waratah Trachymene
Answer: no