You can go to Pakistan and your children can apply for accompany EU citizen as dependant child visa under directive 2004/38/ec
see this thread:
http://www.immigrationboards.com/irelan ... h#p1029242
The EU directive does not allow Ireland to consider you personal situation (finance, intend to return to home country, etc) when processing the visa application. The only reasons they could use to reject the application are:
- you didn't provide all the necessary documents (and in that case they have to give you an opportunity to provide them before refusing the application)
- they have clear evidence that your marriage is not genuine
- the consider you or your dependants to be a security threat
Lastly, do make it clear with the visa application that you are applying based on EU Directive 2004/38/EC.