In Gothic, raising Dexterity allows you to more accurately hit targets that are further away. In Gothic II Dexterity also contributes to damage. You can read the specifics of the damage system
in this post.
As for multiple opponents, when possible you should draw them away one at a time. Most creature types have a warning sound and animation they repeat two or three times before attacking; if you watch while they do this you can see how many have been alerted, and this gives you time to move in such a way that only the desired number of enemies are going to attack you. Some enemies are "linking" (such as orcs and wolves), i.e. when one spots you the whole group will be alerted, while others are "non-linking" (such as scavengers and lurkers) and can be drawn away one at a time no matter how many there are in the group; note that firing magic or a ranged weapon at a non-linking enemy will attract the whole group as if they were linking. Orcs, skeletons and humans do not give a warning before attacking.
Skeletons are the toughest foes in the game, so it is no surprise that you are having trouble with them. Before taking on skeletons you should ideally raise your chosen combat skills to the maximum level available. With "master" level in a melee skill, a heap of strength and the best weapon you can get in that chapter a few left-right-left or right-left-right combos will make short work of any enemy that isn't blocking; when you block an enemy's attack that enemy is left vulnerable for a brief moment which gives you time to start a combo. While an enemy can block a combo the master level combo is so fast that the enemy may not get the chance to block it properly.
You can only attack one enemy at a time, but with high-level abilities and a heavy-damage weapon you can take off a chunk of one enemy's health and then adjust your position if necessary. Two-handed weapons have an advantage against multiple opponents because they make an enemy jump back even if you are not targeting it (unless the enemy is to your side or behind you, in which case it will attack you without fearing your weapon), and the greater range means that in many cases you can combo an enemy at the edge of your range, damaging him and forcing him to stay at the edge of your range where he is less able to hurt you. The longer the weapon is the better; if you have to choose between an axe that does 80 damage or a sword that does 75 damage the sword is the better choice because of its length.
If you are using a bow to take down enemies you will want to maximise your bow skill and Dexterity; at the highest level you can snipe enemies from a very long distance, meaning even very tough enemies will be killed or seriously wounded before they can close to melee range. You will also want to have a good amount of Strength and melee skill to back up your archery because you will inevitably be faced with situations where enemies are too close to shoot at.
Raising your overall character level is also advantageous because you get additional hit points with each level; even if you don't spend the learning points immediately the health bonus will make a difference.