New Zealand, North Island

The Baron appears to have carried out a quick tour of the North Island

There is very little information available.
What has been found (so far):

He arrived in Auckland on the 21st from Wellington.

He arrived in Taupo between the 22nd and 25th allowing at least a day for sightseeing.

He arrived in Napier on the 26th.

He arrived in Wellington at the latest on the 27th as he is shown as checking in to the Masonic Hotel between 21st and 28th with departure on the 28th.

He departed Wellington on the 28th for Lyttleton in the South Island.

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Taupo / Hot Lakes

The Baron arrived in Napier from Taupo on the Wednesday 26th October. [1]

The Terraces of Rotomahana:
People from all over the world came to see what was known as the ‘Eighth Wonder of the World,’ the natural phenomenon called the Pink and White Terraces.

The terraces were destroyed in the earthquake of June 10th 1886.

Pink Terraces, by Charles Blomfield, 1887 (Wikipedia Commons)	White Terraces, by Charles Blomfield, 1884 (Wikipedia Commons)
Lake Taupo, Hot Springs	Lake Taupo

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Napier

The Baron arrived in Napier on the Wednesday 26th October from Taupo on a Griffith’s special coach, staying at the Masonic Hotel. [1][2]

View of Napier from Bluff Hill, Valentine & Sons Ltd., ca. 1887	Masonic Hotel, Napier, ca. 1890’s
The Baron visited the Napier Chess Club at the Athenaeum and played P. F. Jacobsen in 2 games, winning both, however, “… Mr. Jacobsen was suffering from a severe cold and had not previously played for some months. The winner’s play was brilliant. … he also played a game with Mr. J. Hindmarsh, sen., whom he also defeated.” [1] (Note: No game scores have been found so far.)	Athenaeum building, Napier

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P. F. Jacobsen

Peter Frank Jacobsen was born in Nelson, NZ ca. 1851 and died of Typhoid Fever in Wellington on 17th June 1893, aged 42–43.
In 1877 he was one of the founding members of the Christchurch Chess Club,
He was also one of the main organizers of the 1st New Zealand Chess Championship in 1879 in which he also competed, finishing 3rd whilst defeating the winner Hookham in both games. 5 years later in 1884 he played a match with NZ Champion Henry Hookham for first to 7 wins, despite leading for quite a while Jacobsen eventually lost after 19 games, +6 =6 -7.
He moved to Napier in 1885 and then onto Wellington ca. 1889.
He was an Architect by profession

(For a more complete chess bio go here)

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J. Hindmarsh, sen.

John Hindmarsh, sen. was born in 1820 in France and died on Monday 3rd August, 1903 in Napier aged 83.

The son of Rear-Admiral Sir John Hindmarsh who fought with Lord Nelson at Trafalgar and at the Nile, he attended the Royal Naval College in Portsmouth and in 1836, when his father was appointed Governor of New South Wales, accompanied him there where he worked as a surveyor.
In 1841 he returned to England and joined the bar at the Middle Temple, where he followed the legal profession for a few months. He then returned to South Australia and bought a property on the shores of Viotor Harbor, at the same time practising in the courts. In 1878 he moved to the Hawkes Bay,
in New Zealand, and purchased a property at Rakamoana near Napier.
Whilst in Australia he competed twice for South Australia in Telegraph matches against New South Wales. On moving to NZ he joined the Napier Chess Club where he was successful in club tournaments and competed for Napier CC against other clubs.

J. Hindmarsh,sen. ca. 1880

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Wellington

The Baron arrived in Wellington possibly on the 27th and stayed at the Masonic Hotel, departing for Lyttleton on October 28th aboard the S.S. Hawea. [3]

Masonic Hotel, Cuba Street
ca. 1900

S. S. Hawea ca. 1888

The Baron's further travel's in the South Island, are here.

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References:
[1] Hawke's Bay Herald, 27th October 1887
[2] Hawke's Bay Herald, 31st October 1887
[3] Press, 29th October 1887