Will this be OK to run Skyrim on the lowest settings?
You can run the game. What performance you'll have is another matter. That really isn't a gaming machine.
It probably would. I would recommend you research that specific laptop and Skyrim. At least see how the GPU works with Skyrim. I found very little with a quick search.
Again that isn't really a gaming machine. Maybe someone can chime in if they have a similar machine.
No, that's not a good laptop for gaming, especially skyrim. !!!!
That's your processor: AMD A-Series A6-5350M 2.9GHz
this is the integrated GPU: Radeon HD 8450G
Skyrim is not playable on this laptop, not to mention if you want to load some mods. !!!!
http://www.notebookcheck.net/AMD-Radeon-HD-8450G.89652.0.html
Scroll down to the Game Benchmarks section. !!!!