Strawberry picking at Nagashima Farm takes about 40 minutes from Nagoya Meitetsu Bus Center, which runs daily, and about 15 minutes from Kuwana Station(桑名駅,Kuwana-eki). 1 minute walk from Nagashima Farm Mae(ナガシマファーム前) bus stop.
https://www.nagashima-onsen.co.jp/resort/farm/en.htmlTimetable from Nagoya/Meitetsu Bus Center
This bus passes through the Nabana no Sato (なばなの里)bus stop.
https://www.sanco.co.jp/shuttle/nagoyanagashima-genbin-20220901.pdfBus from Kuwana Station (No. 53)
https://www.sanco.co.jp/bus_stop/nagashima-20220901.pdfThe bus written as カ in katakana is the bus designed by Anpanman, as shown in the illustration below.
On the other side of the 53rd timetable, I could only find the one from Nagashima Onsen(長島温泉). It takes about 8 minutes from Nagashima Onsen Bus Stop to Nagashima Farm Mae Bus Stop.
For details, please check the timetable posted at the bus stop. I think it's on the other side of the street from the bus stop arriving from Kuwana station.
https://www.sanco.co.jp/bus_stop/nagashima-20220901.pdfBoth buses will run on Saturdays, Sundays and public holidays timetable from December 30th to January 4th.
You can also check bus times here.
https://www.nagashima-onsen.co.jp/resort/farm/timetable20200401.htmlSince the number of buses is limited, I think it's easier to move around with a rental car.
It might be a good idea not to rent a car for a long period of time, but to rent only where you think you need it. (Though the discount rate may be lower.)
As for Ono-Niimachi, I think I'll see if there's another way.
By the way, where are you planning to stay after visiting Licca-chan House?
If you stay at Hawaiians, it might be a good idea to move to Hawaiians first and go sightseeing the next day (after checkout?).
Hawaiians has a free shuttle bus from Yumoto station.
https://www.hawaiians.co.jp/access/acs02a.html#tabThere is also a free bus for hotel guests that requires a reservation.
https://www.hawaiians.co.jp/otoku/bus/index.html