句1本身没有错,设计答案的人可能喜欢用neither ...nor 结构,这样更为正式。
请看外刊例句:
1. Recently, Nebraska - a state without a Sales Tax or Personal Income Tax prior to June 1, 1967, imposed an income tax effective January 1, 1968.
出自美国马里兰州政府报告:Maryland Legislative Council, Committee on Taxation and Fiscal Matters Report, p 30
2. Heaven knows we are a State without a sales tax or an income tax.
出自美国政府文件:Hearings, Reports and Prints of the Senate Committee on Appropriations
句2:not with...or with的表达不太规范,如果把not放在with前,通常说Donna satisfied not with...but with...,一般不用or with... 但这样的句式意思是否定前面,肯定后面。出题人也许考虑原句的意思是双否定,因此改为neither... nor...结构更为准确。