What station is close to your Namba hotel?
You will start from KIX very late at night, carrying luggage.
It sounds not nice to stop by a JR ticket office | ticket vending machine,
just to get an ICOCA card, before taking a Nankai train.
When it seems you can catch a Nankai Limited Express Rapi:t train,
you can buy a discount ticket of the following link,
at the Nankai ticket office.
https://www.howto-osaka.com/en/ticket/ticket/tokuwari.htmlOtherwise,
you will buy a 920 yen basic fare ticket at a Nankai ticket vending machine.
The last Limited Express Rapi:t train is scheduled to depart
at 23:00 on weekdays,
at 22:55 on Saturdays, Sundays and public holidays.
To take a Rapi:t train,
you should pay a surcharge (covered by the above discount ticket)
and also reserve your seat.
On the 4th day will back to Osaka To Namba?
Can anyone recommend what pass should i buy to minimise my cost ? You can travel between Namba and Kyoto Stations,
by Osaka Metro and JR, at 790 yen per way;
no pass seems recommendable for it.
Osaka-Namba --[Osaka Metro]--
Umeda --[Walking]--
Osaka --[JR: Rapid or Special Rapid train]-- Kyoto.
At Osaka Station, before making a transfer to JR,
you can get an ICOCA card.
On your way back from Kyoto, you can make a Nara side trip.
Kintetsu Rail Pass 1-day is valid
on Kintetsu routes connecting Kyoto, Kintestu-Nara and Osaka-Namba
and on Nara Kotsu bus routes around Nara Park.
(This pass does not cover a Limited Express surcharge of Kintetsu;
you can take an Express train with this pass only. )
https://www.kintetsu.co.jp/foreign/english/ticket/krp_1day2day.htmlAlternatively you can go by JR from Kyoto via Nara to Osaka.
In that case,
Nara Kotsu 1-Day Pass can pay off for 3 or more bus rides inside the validity area.
https://www.narakotsu.co.jp/language/en/pass.html