To clarify my earlier posting in relation to entitlement to medical cards on the basis of EU entitlement.
You say you are in receipt of a social security pension from another EU/EEA member state (i.e., UK). An Irish public service retirement pension is not a social welfare pension.
On the basis of the information you supplied above, once you are not either working or self-employed here (i.e., liable to pay social insurance - PRSI in Ireland), you are entitled to a medical card. You don't have to fulfil the means test requirements. Your HSE Area is of course entitled to check your means but they are really just checking your liability to pay PRSI here.
I've just checked this information again this morning and it is correct. You will of course be [broken link removed], (i.e., the medical card won't be issued to you automatically).
Your local health centre (or HSE Area) will have a list of Doctors who provide services to medical card holders in your local area. Staff in your health centre can answer any other questions regarding the length of time it will take to process your card, etc.
I'm a little confused as to what you are asking regarding the Household Benefits Package. Anyone aged 70 or over permanently residing (on an all-year round basis) in Ireland is entitled to the Household Benefits Package. If you are under 70 years, whether or not you qualify will depend on other factors (your age for example, or whether you are in receipt of another qualifying payment), etc. I might suggest you take a quick look through the
DSFA booklet that deals with Household Benefits (you can view it online here)
Staff in your local social welfare office can help advise on your Household Benefit entitlement.
I hope this has been of assistance.