Cremator, you are by far not the only one
I have been having the same exact issues as well, also attempting to fly close on the ground or taxing I run into massive lag spikes... And my laptop is still fairly new...
FBDragon has seen the same problems as well to the point where it is unplayable while flying close to the ground!
Does not matter how new it is. It is lacking in video RAM. With 512MB of dedicated video RAM, you can easily run it out of resources which will manifest as all manner of stutters.
It looks like you are using the built-in video chip, which exacerbates the problem. When it has to go to system RAM, the CPU is locked from executing anything as there is only one memory bus for both to share.
Basically, you need to crank down all the graphic settings. Start with "Maximum Texture Size". Should be no higher than 512. The only "Advanced" graphic options you might get away with enabling is "Detailed Water" and, possibly "Detailed Terrain".