I have downloaded the game and have finished the Training Session. So far no problems, but>

When I was looking at All Programs in Windows 7 Pro. it says that the game is loaded in Safe Mode. Not being very computer savvy.
Is this a Problem the game running in safe mode?

I uninstalled it just in case it was a problem.

Also how many times can I download a game I have purchased?

If you buy a game on GOG then it is DRM free. So you can download the game as many times as you want/need, to as many different computers as you need, though you are only expected to ever use it on one machine at a time with you as the one user, it is a matter of trust.

I wouldn't worry if windows says it's running in safe mode - not sure if that's a windows thing or unreal engine thing (seem to remember the original unreal having a safe mode, the only effect of which was running in software mode), but either way, it's not going to cause a problem.

Thanks that helps a lot.