Would the summonses from my previous car affect my road tax renewal?

I was not able to renew road tax because i'm blacklisted because of summonses apparently, checked my number plate, just 1 speeding. paid that. then i checked my IC, got 2 more from years back from my old number plate.

Now the old number plate has been transferred to my sister's car, can renew road tax all just fine.

Would the old summonses still haunt me and my new number plate?