You are right, those figures are off the charts for level one characters, you surely did something wrong. Let's check it step by step.
The ability score roll
When you roll ability scores, the standard method is to roll 4d6, discard the lowest result, then add up the other three results.
This gives results between 3 and 18.
I don't see any evidence of you discarding the lowest roll, but let's suppose for a moment that you really rolled a 16 as the sum of your three highest dice.
Calculating the modifier
An average character (10 or 11 Dex) has a modifier of +0
Your character, with a score of 16, has a modifier of +3
Check the score and modifier columns in this table.
The math behind this is: mod=(score-10)/2 (round down).
Your total attack bonus is off
Even if you really had a +8 Dex mod, adding it to a +1 Base Attack Bonus would only give you a ranged attack bonus of +9. I have no idea why your "total attack bonus" should be +10.
Your real ranged attack bonus is +4 = +1 BAB +3 Dex
Your total damage is off
I do not really know what is going on here, but you have a +8 bonus on top of a d8, and somehow you total 17 damage. I might help you more once you edit some more details in your question, for now all I can say is that the value is surely not what it should be.