The only real problem I'm noticing is that if you use the trainer when you level up afterwards you wont gain any skill points. So if you plan on using the skill point cheat make sure to max everything out because its your only chance.
After you have leveled up and passed a save point. exit game and trainer, reload game to continue, and then you will see points added...
Is there any way to use this trainer to add points on top of the points I get when I level? I added 10 points to some skills, but when I level up I do not get skills points. After I reached level 13 I did start getting points again. Is there any way to add points and still get points for leveling?
Unless you want to end up max level with like 10 points extra to spend without any to spend on. I'd not have it. You added 10 points and when you leveled it counted the points you already added as the reward. You in general got skills unlocked before you had to level for them. That is good enough.