Good afternoon Sam,
Once a grant of probate has been obtained in his estate the Will shall be attached to it, the grant is a public document so you can pay for a copy (there is a £5.00 fee in England for this and I shouldn't think it will be much more expensive in NI).
If one has not been taken out yet then you should ask them to perform a "standing search" of the probate calender. This will inform you if a grant is taken out within the next six months and you will be sent a copy.
Royal Courts of JusticePO Box 410Chichester StreetBelfastBT1 3JF
It is up to the executors named in you cousin's will as to who they are willing to reveal the Will to. You have to investigate who they are and see if they are minded to address your concerns by showing you the Will. They are not under a duty to show it to you.
If you still have strong concerns then you need to instruct a contentious probate solicitor in your area, he will write to them initially and ask them to address you concerns and act thereafter in making sure the estate is not administered incorrectly.
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