Advice wanted - unhappy with rewire

Hi all

Hoping I could get some independent advice on here. We've just bought our first property and had to get a full house rewire on the property (3 bed semi). Our electricians had finished the work within 2 days (2 electricians working on it). When asked when they were coming back, they said they didn't need to come back for a second fix as they'd finished it all. As we didn't know any better, we assumed all was fine and paid up because that said they wouldn't give paperwork till payment was made.

Since then, we have had a few issues. Our plasterer has been really surprised at the poor standard of work - they have had to plaster around all sockets and spotlights in kitchen.

1. The holes made to put in the sockets are generally quite a bit larger than the face of the external socket casing.
2. One of the sockets had a loose wire that was not connected when the plasterer was plastering around.
3. Another socket melted the builder's plug (smoke coming out as well), but didn't activate the trip switch.
4. An armoured cable they put in to light the garage is coming out of the consumer unit and through the floorboards in the bedroom in front of (rather than behind) the skirting board.
5. No paperwork 3 weeks after despite chasing him for this before everything else happened.

Would really appreciate any feedback as not sure if these are common or we really are within our rights to be taking this further? We tried contacting the electrician a couple of days ago, but he's not able to come till Monday evening, but his general response is telling me that he's blaming the plasterer's work.

Thanks!