Also, should i expect the exercise window and % ownership be mentioned on the offer ? The recruiter did no seem to have those details.
In my experience it's unfortunately somewhat common to not provide this information up front, and more so when it's not favorable. If you're looking for language to request the information, you might ask something like "I expect to consult counsel about the offer, as I'm sure you understand, so I'd appreciate if you could please give me a copy of all the documents you'd expect me to sign as part of employment, including the employment agreement, any NDA[0], IP[1] assignment, and equity grant, and anything else I'd need to evaluate the offer like what percentage my options would represent (fully diluted), and exercise window and tax status (ISO vs NSO, etc)."
[0] non-disclosure agreement
[1] intellectual property