5. if so, we agree to settle your claims.
如果这样的话，我们同意理赔。
还能这样说：
If it is true, we are in favor of your claim.
If things turn out like that, we approve to settle the claims.
应用解析：
settle down! 安静！

6. We face with the problem that part of the consignment is unacceptable.
我们面临的问题是委托的部分货物无法接受。
还能这样说：
The problem we face is that some consignments are rejected.
The problem is that some of the consignment is not acceptable.
谚语：
The face is the index of the mind.
脸是心灵的镜子。

7. We are lodging a claim for inferior quality.
我们因获取质量低劣的货物而提出索赔要求。
还能这样说：
We claim for that we are sent the bad quality goods.
We request a claim for poor-quality commodity.
应用解析：
quality是常用词，指表现于某人或某物与其他不同的特质或特点；
characteristic指特殊的，易于辨认的特性或特征；
feature指引人注意的显著特征或细节。

8. Therefore I regret very much that we can't bear you to file a claim on us.
因此非常抱歉，我们不能接受你们向我们提出的索赔。
还能这样说：
So I am sorry that we are not in a position to accept your claim.
So I am sorry for our inability to accept your claim.
应用解析：
bear in with 驶向，驶近；
bear in 生于；
bear against 否决