Vai is explicitly mentioned only twice (redmarked):

1

nga kope ririva tutuu vai a te taanga

2

te pu mahore a hau maka o hiva

3

te poki uri a hau maka i hiva

4

te manavai a hau maka o hiva

5

te kioe uri a hau maka o hiva

6

te piringa aniva a hau maka o hiva

7

te pei a hau maka o hiva

8

te pou a hau maka o hiva

9

hua reva a hau maka o hiva

10

akahanga a hau maka o hiva

11

hatinga te kohe a hau maka o hiva

12

roto iri are a hau maka o hiva

13

tama he ika kino he ihu roroa

14

one tea a hau maka o hiva

15

hanga takaure a hau maka o hiva

16

poike a hau maka o hiva

17

pua katiki a hau maka o hiva

18

maunga teatea a hau maka o hiva

19

mahatua a hau maka o hiva

20

taharoa a hau maka o hiva

21

hanga hoonu a hau maka o hiva

22

rangi meamea a hau maka o hiva

23

peke tau o hiti a hau maka o hiva

24

mauga hau epa a hau maka o hiva

25

oromanga a hau maka o hiva

26

hanga moria one a hau maka o hiva

27

papa o pea a hau maka a hiva

28

ahu akapu a hau maka a hiva

29

te pito o te kainga a hau maka o hiva

The sacred geography of Easter Island seems to locate the end of the previous month (maybe named Te Taanga) out in the 'water' preceding the land proper.

However, the last 4 specified locations (25-28) could belong to the beginning of next month if the structure is similar to that in the Hawaiian Moon calendar (with Kane, Lono, Mauli, and Muku as number 26-29). If we increase the ordinal number of the kuhane stations by 1 - which I have done when imagining Te Pei as station number 8 - then the numbers of these 4 kuhane stations will agree with those at the end of the Hawaiian calendar.

The assumed previous month (Te Taanga) perhaps instead should be regarded as the previous doublemonth, in which case there is no collision between these 4 stations and 3 islets at the beginning.

Hupee possibly belongs in day 28 in the Hawaiian calendar:

28

Mauli

'A sea that gathers up and returns the sand to its place' is the meaning of this single word.

Mauri (Mauli) ends in -ri as in etoru kiori at haś ke in Ca6-7--9, and maybe it is a technical term indicating 'final':

Ca6-7 Ca6-8 Ca6-9 (149)
etoru kiori

Ririva can then be regarded as double ri together with va as in vai.

Ahu Akapu is the burial place of the sun king, where his earthly remains are returned. At vaero this was suggested by the glyphs and by the words of Metoro at Aa2-24 (ko te tuu o te toga):

Aa2-21 Aa2-22 Aa2-23 Aa2-24 (114)
26 Oromanga 27 Hanga Moria One 28 Papa O Pea 29 Ahu Akapu

Here I had increased the ordinal numbers of the kuhane stations with 1. 29 is a better number then 28 for a burial place:

29

Muku

... a day of low tide, when the sea gathers up and returns the sand to its place, a day of diving for sea-urchins, small and large, for gathering sea-weed, for line-fishing by children, squid-catching, uluulu fishing, pulu fishing and so forth. Such is the activity of this day.

Maybe we should count Ririva as 2 for being in the 2nd part of the previous 'year'.