Unless explicitely stated in the rules (as for the constitution based hit point bonus for multiclass), every bonus/penalty are considered to be fully apply in the situation: In this case, the full "hit adjustment" and "Damage adjustment" bonus/penalty from your strength applies to both weapons.
The "Hit adjustment" bonus/penalty will either offset or worsen the "two weapon penalty".
In regards to the "Damage adjustment" you need to look at the two underline section below. The full "damage Adjustment" modifies the damage of every attack performed by the player. As the "off hand" weapon constitute an independant attack from the "primary" hand, it get's the full damage adjustment.
p 13. PHB Damage adjustment definition:
Damage Adjustment also applies to combat. The listed number is added to or subtracted from the dice rolled to determine the damage caused by an attack (regardless of subtractions, a successful attack roll can never cause less than 1 point of damage). For example, a short sword normally causes ld6 points of damage (a range of 1 to 6). An attacker with Strength 17 causes one extra point of damage, for a range of 2 to 7 points
of damage.
p. 96 PHB Attacking with two weapon, 4th paragraph
The use of two weapons enables the character to make one additional attack each combat round, with the second wrpppon.The chancter gains only one additionnal attack each round, regardless of the number of attacks he may normally be allowed. Thus a warrior able to attack 3/2 (once in the first round and twice in the second) can attack 5/2 (twice in the first round and three times in the second).