Should the EU move towards a more integrated legal system with uniform civil and criminal laws across all member states?

I think this has potential. For example, if someone committed a crime here in Ireland and they went to France, they should be able to arrest him and sent him back here. Other than that I'm not one hundred percent sure.

Within the common travel area the basis of all laws should be regarded in a shared cultural or linguistic basis. The basis of western morality is from our shared religion/morality and thus most of the laws translate but some don't. A consensus on the arguably archaic and cultural differences shouldn't necessarily be dismissed but should be given leeway to those who are not native but repeat offenders should be penalised.

No, national jurisdictions should retain a degree of sovereignty in terms of laws, however greater uniformity on transnational legal issues should be introduced, e.g. trafficking crimes; anti-money laundering, etc.

No, different societies and cultures will have different views on civil laws

Yes but only to maintain a standard outside corruption influences.

yes but each member state should maintain their own systems and jurisdiction

No, but a shared criminal database across member states should be implemented