I request Insim or other program that can measure lap time for BL1 but for reversed (wrong way) driving.
It dont have to be fancy, all it has to do is measure the time and writes it somewhere (document or ingame).

Please do not repeat posts, as it makes it appear as if the first answers you got weren't to your liking.

As for your request - try LFSLapper - details given on your other post.

There is a plugin in PRISM that's called Timing & Scoring, it's based off how FOM (Formula One Management) does the overlays for the F1.

Dygear are you sure that you can go reversed (wrong way) and it will record the time on the check points or at the start grid?

If you mean your running the track in the reversed direction, then yes. If you mean, that you are driving the wrong way on a normal direction of the track then no. But at the same time, no application would work in that case because the SPX and LAP packets are not sent from InSim to the Application.

I'm searching for something that could do the job like in the 2-nd case

It is possible without SPX and LAP packets, by using position packets of car. (Will not be as exact but probally close enough.)
Is 10€ ok price?

Yes, but it would not be accurate, and therefor pointless.