As a precautionary measure Martindale Electric is voluntarily recalling all EZ150 / EZ650 socket testers with serial numbers between 50 000 000 and 213 999 999 and will replace them with new EZ150 / EZ650 products with a full 2 year warranty.
Was yours one of that batch?
Most sparks will use a full meter, so have very little experience of the cheap plug in tester, I have never used one.
Although your two prong tester and proving unit will show if a correctly wired circuit is dead or not, it will not alert you if there is a borrowed neutral, be it a clamp on meter, or simple neon screwdriver both can alert you of a borrowed neutral before you find out the hard way, so I try to use a neon screwdriver when disconnecting circuits if my clamp on is not handy.
This house when I came to sort out central heating had 3 FCU's connected to 2 separate consumer units. And I would guess it was done by the electricians who wired up the granny flat under the main house.
This link is BS7671:2008 forms but it shows you on the minor works form what you should be checking, see page 9 it is clear you can't complete that form with the test gear you have, I know many of us do miss doing the tests, in the same way I have I am sure on the odd time exceeded the speed limit, but only you can assess if it is likely to come back and bite you.
For a DIY job I would not worry, but at work that's a different thing, we all make errors, and even with testing it can still go wrong, but when my firm asked me to do mechanical work I refused, they insisted, I had an accident, that cost them many thousands of pounds in compensation and lawyers, had I not refused don't know what would have happened, it was not my fault by the way, but first question from safety officer was did you do a risk assessment, I answered no, the method statement was locked up, so could not do the risk assessment without the method statement, next question is why didn't you refuse the job, answer was I did, end of interview, I never worked again. I was lucky I did do it right and I was a Union member and they fought the case.
Be very careful doing work which is not your job when employed, as DIY OK, but employed it's very different.