YES - The European Health Insurance Card covers you for necessary medical treatment during temporary stays abroad. However, your statutory health insurance might not cover you for the whole length of your stay abroad (for example, if you reach a certain age limit during your year abroad). Before leaving, check for what and how long you are covered, while studying abroad.
YES - Your being posted abroad to work does not affect your family's health insurance.
If your mother is legally resident in one EU country but would like to seek treatment in another, she must ask her health insurer for prior authorisation to receive medical care abroad, so she can have the costs reimbursed. In the event of an unforeseen medical emergency during her stay abroad, your mother could be reimbursed via her European Health Insurance Card.
More FAQs on which legislation applies to you
YES - EU rules prevent overlapping benefits of the same kind. In general, invalidity pensions are converted into old-age pensions when you reach the legal retirement age in the country where you live (or where you receive your invalidity pension). Be aware that the legal retirement age differs from country to country.
The requirements differ according to the social security system of each country. If the system in the EU country where you live in requires a minimum contribution period, any social security contributions you have paid in other EU countries will be taken into account in calculating your total contribution period. However, your degree of invalidity is determined using national criteria. You might be assessed as 100% invalid in one country, and only 30% invalid in another.
More FAQs on your social security rights in the EU