In regards to the log book, it will only show that the car was written off if it is a Category A, B, or C (and C is the only option really here due to the type of damage).
However, this will only show on the V5 if you undertake a Vehicle Identity Check and obtain a new V5 (let's not get ahead of ourselves though).
I find it quite surprising that a �7k plus car is being written off for something like this? I'd suspect the car to be a Category D total loss, in which cae it will be entered on the relevant databases, but nothing will show on the V5.
The car would POSSIBLY need a respray, but dependent on the type of paint (and extent of coverage), I would have thought that a tidy bodyshop could clear this off - I'm sure someone out there with more knowledge of this kind of work could inform you a little better.
Out of curiosity, what car is it (can you include number of doors, year, engine size, and date of accident) and I'll have a look at the values for you.
Without meaning to sound offensive, what you consider the vehicle value to be may be considerably different to the guides we're obliged to use.