What to mix 会 and 没有 to say "We won't have any problems."?
Is the sentence I used correct? Or is there a better expression here?


1.我们会没有问题 - 我们 (we) | 会 (will) | 没有 (not have) | 问题 (problem)

2.我们不会有问题 - 我们 (we) | 不会 (will not) | 有 (have) | 问题 (problem)

我们会没问题 (just #1 omitted 有)

Both #1 and #2 are correct. 


没有 (not have) acts on the noun "问题 "(problem)
不会 (will not) modify the verb "有" (have)



  By the way is 我不会英语  correct in grammar or does she just omit it since it is obvious in context?



我不会英语 means " I don't know English" (don't understand, can't speak, read or write)  or it is "我不会說英语" but omitted the verb "說"
我不会說英语 means " I can't speak English" 


我不会英语 on its own is grammatically correct. Since she understood what you wrote in English, she was actually saying "我不会說英语" but omitted the verb "說"