Every new bit of info is a real twist in this saga!
What you have there in theory is a satisfactory EICR, which is what you legally need to rent - and which would normally be charged extra.
It's severely lacking in places, and is printed on the most basic of certificates, but I've seen worse on more professional looking certificates too!
There are noticeable errors or ommisions: Bonding to gas and water doesn't seem to be mentioned at all on it, and some of the values on the test sheet are questionable (1000V IR tests?!).
He also seems to be suggesting there is a socket circuit, on a 16A MCB, with 1mm twin and earth, which would be concerning if true, but appears to be a certificate error (order of circuits is wrong too)
More importantly, what he should have given you for the consumer unit change is an Electrical installation Certificate - which would look quite similar, but is specifically for new work, and most importantly a Part P notification certificate, to prove that the work has been notified to the Local Building Control, as is required by law.
You can check yourself for NICEIC or ELECSA members - at
NICEIC Online Certification - http://www.checkmynotification.com/, but it doesn't appear to cover NAPIT work.
Not only is the notification a legal requirement, it is also important because it is required when selling a house these days, and not having it can cause complications with the legal process or additional costs.
In general, only the person who did the work can make that notification, so I would certainly chase up the electrician to get the EIC and Part P certificates - If he doesn't come forward with them, then definitely contact NAPIT and follow the procedure.
Whether you want to let him loose to try and correct his issues is up to you, but I'd be tempted to get someone else to sort the mess out properly - which would probably include a more thorough and trustworthy EICR.