I think the EU would be happy enough with at least a few of those points as it's mutually beneficial:
- reach a veterinary agreement with the EU to reduce checks on agri-food trade
The UK hasn't introduced these checks and really never should, I think the EU would agree it'd be sensible to get an agreement here, and I'd be fairly certain that Labour would be happy to guarantee regulatory alignment with EU environmental standards. That's the current blocker to an agreement there.
- They also want a mutual recognition of professional qualifications.
Again, that'd be beneficial for both sides, the biggest blocker was the UK pig headedly disapplying the EU directive on MRPQ as it would require alignment with the EU standards. In some sectors such as engineering, it's on a country by country basis, so there's mutual recognition with Ireland, Portugal, Spain and the Netherlands. It's another one of those "what the fuck are you doing, this benefits absolutely nobody" moves by the brexit morons.
- "closer cooperation in areas such as security, innovation and research."
The row back on Horizon has happened, no doubt Euratom is next, again, utterly brainless not to be part of it. Would have thought Erasmus would be another scheme to re-join, that the EU is fairly keen to get the UK back into.
For security, the original deal back in 2018 had the UK retaining access to the Schengen Information Sharing system. They needed to do some fundamental changes to their side and were cocking that up badly. They lost access in 2020, the EU offered some basic access, they said that full access would be contingent on having the ECJ involved, ensuring it's usage is formally aligned with the ECHR and providing free movement to EU citizens. The Tories weren't willing to meet those terms, Labour have far few problems with agreeing to them.
UK set to lose access to Schengen Information System that police across continent use to stop criminals
www.theguardian.com
“The UK basically said it was not interested in what the EU suggested and that if they can’t have it then they would rather have nothing. So they are playing hardball,” said one EU official.
“We have opened discussions on this,” said a second EU source. “They were not interested in anything that does not replicate the benefits of SIS II.”
I'd say the basic access is almost certainly going to happen, the EU would like to know more about dodgy brits coming into the EU too.
Exclusive: Home Office admits vital access to Schengen Information System II lost for up to four years
www.theguardian.com
"Despite this, Rycroft wrote that the government is still seeking access to EU data, referred to as “Phase 2” in the document, and believes an EU proposal for reciprocal access to data on security might be published by the end of this year.
“We now understand the EU Commission proposal may be published in late 2023. If adopted, this approach would offer considerably greater benefit than the previous approach as an EU-wide solution could offer reciprocal, direct and real-time access to security-related alerts between the UK and all EU-member states,” he wrote."
So there's definitely scope for modest improvement that both sides want. Labour are almost certainly going to drive regulatory and legal alignment with the EU, it's unrealistic to see them getting back in within the next parliament (i.e. before 2029), but I can see at least free movement and some sort of comprehensive free trade arrangement, including Single Market and/or Customs Union membership happening within the next 10 years. In the meantime, Labour are almost certainly going to bring the UK back into line with the EU.