I'd like to study in Ireland for 4 months, with a Schengen visit in-between. As a visa-free national, would I need to apply for a regular visa? [closed]

I plan to travel to Ireland (for a study program) for about 4 months. In the middle of this period I'll want to fly to the Netherlands for a week. I also might want to visit the UK in this period.

I don't need a visa for a short visit to Ireland (as well as the Netherlands and UK). My total stay will exceed 90 days, but each contiguous period will not. So perhaps I need a type D long stay visa.

My questions:

Do I need a long stay visa? Perhaps not, because I won't stay more than 90 contiguous days in Ireland? If it was Schengen, the 90-180 rule would say that I do. But Ireland isn't Schengen.
Single or multiple entry? According to the INIS site, long stay visas are single entry. Does it mean I won't be able to leave Ireland during this time? I can apply for reentry visa once in Ireland, but the Netherlands trip is important to me, and I want to be sure I can make it.

Notes:

I have an Israeli passport, allowing me to enter Ireland, the UK and EU for a short periods with no visa.
My wife was accepted for a 3-month post-doctorate study program in Ireland. I'm travelling with her and our 2 kids.

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Do I need a visa for Ireland if I have a Schengen Visa?

Note: A Schengen visa or UK visa is not valid for travel to Ireland. For exceptions to this, please see Schedules 2 and 3 below. If you're a citizen of a non-EEA country, whether you need a visa or not, you will be subject to immigration control when you enter Ireland.

How much bank balance is required for Ireland tourist visa?

Please note that there is no set amount of funds that will result in the approval or refusal of an application. The Visa Officer will decide whether your have enough funds based on your individual circumstances. Your 3 most recent payslips.

Can I change my tourist visa to student visa in Ireland?

(Important: it is not normally possible to change to student status if you receive a tourist immigration stamp on arrival). You will also need to register with immigration authorities soon after arrival in Ireland if staying for more than 90 days (or before the date on your passport stamp, if earlier).

Can I enter and or exit the Schengen area visa a country other than the one for which I have a visa?

According to the Schengen rules, the Schengen visa is generally valid for all the countries in the Schengen area. Please note, however, that you always have to apply at the consulate of the country which is your primary destination (see FAQ no 5).

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