I will answer in two ways.

 

First, the things you mentioned if they were between two Muslim couples are good enough reasons to destroy a marriage. We have many cases in which husbands do not practice at all although Muslims and they prevent their wives to pray or put Hijab etc. And for that alone, a woman can take her matter to the Imam and ask for divorce just because of that.

 

Now that which you have described in your relationship is a reason for any woman to walk out from such a relationship even if he was a born Muslim.

 

Second, if a wife accepted Islam, she must invite her husband to accept Islam. If he refused, the most time allowed for a female to stay under a non-Muslim husband in case she accepted Islam is 3 months according to the most famous views in schools of thought. Some scholars extended this period if the husband is looking into studying Islam with the intention of conversion regardless of how long that period is.

 

It is all up to you.

 

Almighty Allah knows best.